Bitcoin will exist as long as there's one or at least few computers running a bitcoin full node. What could possibly stop this? Probably a global blackout or a huge EMP(electromagnetic pulse)[1] or something.
[1]
https://en.wikipedia.org/wiki/Electromagnetic_pulseYeah bitcoin infrastructure or the blockchain technology it self why there are many individual who does mining this a very brilliant idea because you cannot crush an infrastructure that scattered around the world tied in a one technology the block chain technology supporting crypto currency that how powerful bitcoin is . If you doubt about crushing bitcoin the technology and the infrastructure will give you good assurance.