115711972200 has 1536 divisors, whose sum is σ = 500753664000. Its totient is φ = 24186470400.

The previous prime is 115711972193. The next prime is 115711972231. The reversal of 115711972200 is 2279117511.

115711972200 is a `hidden beast` number, since 1 + 1 + 571 + 19 + 72 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 709889319 + ... + 709889481.

It is an arithmetic number, because the mean of its divisors is an integer number (326011500).

Almost surely, 2^115711972200 is an apocalyptic number.

115711972200 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 115711972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250376832000).

115711972200 is an abundant number, since it is smaller than the sum of its proper divisors (385041691800).

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

115711972200 is a wasteful number, since it uses less digits than its factorization.

115711972200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 115711972200 in words is "one hundred fifteen billion, seven hundred eleven million, nine hundred seventy-two thousand, two hundred".