11516371200 has 648 divisors, whose sum is σ = 45964245600. Its totient is φ = 2733834240.

The previous prime is 11516371169. The next prime is 11516371259. The reversal of 11516371200 is 217361511.

11516371200 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 637 + 1 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18604491 + ... + 18605109.

Almost surely, 2^11516371200 is an apocalyptic number.

11516371200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982122800).

11516371200 is an abundant number, since it is smaller than the sum of its proper divisors (34447874400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11516371200 is a wasteful number, since it uses less digits than its factorization.

11516371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11516371200 in words is "eleven billion, five hundred sixteen million, three hundred seventy-one thousand, two hundred".