We do, too, but then there are also bundles of bundles. When I was involved in cash a bundle of 500 £1 notes was common here. The bundles of 500 were then further bundled into bundles for ease of transportation but I can't remember how many were in that secondary bundle - maybe two, then perhaps five of those two were re-bundled.
Higher denominations could have smaller initial bundles but then they too were further bundled for ease of handling in bulk. I've seen canvas bags of bundled bundles of notes.
Are you talking of transportation to the Banks from a mint, or inter bank branches or what?
If the exact detail is important - which, knowing you, I guess it will be - have you considered popping this question in the international section/forum? Or check with the local Institute of Bankers.
Good luck.