115831296000 has 1872 divisors, whose sum is σ = 530234228160. Its totient is φ = 25082265600.

The previous prime is 115831295977. The next prime is 115831296029. The reversal of 115831296000 is 692138511.

115831296000 is a `hidden beast` number, since 1 + 1 + 583 + 12 + 9 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6096383991 + ... + 6096384009.

It is an arithmetic number, because the mean of its divisors is an integer number (283244780).

Almost surely, 2^115831296000 is an apocalyptic number.

115831296000 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 115831296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265117114080).

115831296000 is an abundant number, since it is smaller than the sum of its proper divisors (414402932160).

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

115831296000 is an frugal number, since it uses more digits than its factorization.

115831296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 115831296000 in words is "one hundred fifteen billion, eight hundred thirty-one million, two hundred ninety-six thousand".