can't remember what other livestock you have?
most will appreciate shredded paper, even just as a plaything! It does end up as papier-mache if it gets very wet.
I bring it home from work - unbelievable amounts! no wonder they're looking to make redundancies, its soooo wasteful

(not that I want to cut down on the free bedding!)
And we never turn down fliers or junk mail...