I don't recall exactly, but I think the rating is something like 100,000.
Keep in mind that the number is an 'average rate of failure'...meaning that it might not last that long but could easily last longer.
Also keep in mind that this rating is for the shutter, not necessarily the camera itself. The Camera & mirror are pretty much the only mechanical moving parts (not counting the buttons) on the camera....as such, they are subject to wear and tear with use.
You can have them serviced, which will certainly prolong their life, and you can also have the worn parts replaced for a lot less than replacing the whole camera.