115807392000 has 432 divisors, whose sum is σ = 434851417728. Its totient is φ = 29537587200.

The previous prime is 115807391927. The next prime is 115807392037. The reversal of 115807392000 is 293708511.

115807392000 is a `hidden beast` number, since 1 + 1 + 580 + 73 + 9 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×115807392000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6615259 + ... + 6632741.

It is an arithmetic number, because the mean of its divisors is an integer number (1006600504).

Almost surely, 2^115807392000 is an apocalyptic number.

115807392000 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 115807392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217425708864).

115807392000 is an abundant number, since it is smaller than the sum of its proper divisors (319044025728).

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

115807392000 is a wasteful number, since it uses less digits than its factorization.

115807392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17543 (or 17516 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 115807392000 in words is "one hundred fifteen billion, eight hundred seven million, three hundred ninety-two thousand".