115858512000 has 2048 divisors, whose sum is σ = 551140761600. Its totient is φ = 23514624000.

The previous prime is 115858511969. The next prime is 115858512017. The reversal of 115858512000 is 215858511.

115858512000 is a `hidden beast` number, since 1 + 1 + 58 + 585 + 1 + 20 + 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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2694383979 + ... + 2694384021.

It is an arithmetic number, because the mean of its divisors is an integer number (269111700).

Almost surely, 2^115858512000 is an apocalyptic number.

115858512000 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 115858512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275570380800).

115858512000 is an abundant number, since it is smaller than the sum of its proper divisors (435282249600).

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

115858512000 is an frugal number, since it uses more digits than its factorization.

115858512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 36.

The spelling of 115858512000 in words is "one hundred fifteen billion, eight hundred fifty-eight million, five hundred twelve thousand".