How many blimps are there in the world?

At least 43.

There are at least 43 blimps in operation worldwide. 3 are owned by the Goodyear Company, 4 are produced and rented out by WDL Worldwide in Germany, 4 are semi-rigid German Zeppelin NTs, 15 are built and rented out by Airship Management Services (AMS) , and 17 are rented out by the Lightship Group (LG). Blimps have also been produced for military purposes but no public count has been reported.