115032172032 has 480 divisors, whose sum is σ = 365699093760. Its totient is φ = 36020920320.

The previous prime is 115032172019. The next prime is 115032172063. The reversal of 115032172032 is 230271230511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115032171987 and 115032172005.

It is a congruent number.

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, 174555319 + ... + 174555977.

It is an arithmetic number, because the mean of its divisors is an integer number (761873112).

Almost surely, 2^115032172032 is an apocalyptic number.

115032172032 is a gapful number since it is divisible by the number (12) 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 115032172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182849546880).

115032172032 is an abundant number, since it is smaller than the sum of its proper divisors (250666921728).

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

115032172032 is an frugal number, since it uses more digits than its factorization.

115032172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 115032172032 in words is "one hundred fifteen billion, thirty-two million, one hundred seventy-two thousand, thirty-two".