115899801937920 has 9216 divisors, whose sum is σ = 615425900544000. Its totient is φ = 20123143372800.

The previous prime is 115899801937903. The next prime is 115899801937987. The reversal of 115899801937920 is 29739108998511.

115899801937920 is a `hidden beast` number, since 1 + 1 + 589 + 9 + 8 + 0 + 1 + 9 + 37 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1467086100441 + ... + 1467086100519.

It is an arithmetic number, because the mean of its divisors is an integer number (66777984000).

Almost surely, 2^{115899801937920} is an apocalyptic number.

115899801937920 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 115899801937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307712950272000).

115899801937920 is an abundant number, since it is smaller than the sum of its proper divisors (499526098606080).

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

115899801937920 is a wasteful number, since it uses less digits than its factorization.

115899801937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 72.

The spelling of 115899801937920 in words is "one hundred fifteen trillion, eight hundred ninety-nine billion, eight hundred one million, nine hundred thirty-seven thousand, nine hundred twenty".