115850385928320 has 256 divisors, whose sum is σ = 382023545270400. Its totient is φ = 29826826960896.

The previous prime is 115850385928279. The next prime is 115850385928337. The reversal of 115850385928320 is 23829583058511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 2237029467 + ... + 2237081253.

Almost surely, 2^{115850385928320} is an apocalyptic number.

115850385928320 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 115850385928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191011772635200).

115850385928320 is an abundant number, since it is smaller than the sum of its proper divisors (266173159342080).

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

115850385928320 is a wasteful number, since it uses less digits than its factorization.

115850385928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92015 (or 92003 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 60.

The spelling of 115850385928320 in words is "one hundred fifteen trillion, eight hundred fifty billion, three hundred eighty-five million, nine hundred twenty-eight thousand, three hundred twenty".