If there is any country for which the term voter apathy rings true, it must be Australia - the country that invented the donkey vote.
Australia's voting system has a number of unusual features. Firstly, voting is compulsory for all citizens in Commonwealth elections and most in State elections. Secondly, a preferential system of voting is used for most Lower Houses (including the House of Representatives) and a proportional system is used for most Upper Houses (including the Senate) and the Tasmanian Lower House. Both of these systems require voters to number the candidates in order of preference (the difference lies in the way the votes are counted).
Since many people don't care which candidate wins but are forced to vote, they often number the candidates 1, 2, 3... straight down the ballot paper - the donkey vote! The names on the ballot paper used to be printed in alphabetical order, but this was changed when a Commonwealth Parliament was found to have a highly disproportionate number of members with surnames early in the alphabet, due to the donkey vote. Now the names are listed in a random order so that no one can change their name to manipulate their chances of being elected.
I should point out that people are not technically required to vote as no one may attempt to ascertain what (if anything) they marked on their ballot paper. Rather they are required to attend a polling booth, where their names are marked off of a roll. However, people often think that they are required to vote in some fashion, hence the donkey vote tends to be more common than the blank vote.
I could probably go on for pages just describing the peculiar way in which Australian governments are elected despite the general apathy of the populace but I'll leave that for another night.