232912856520960 has 2304 divisors, whose sum is σ = 1009321941196800. Its totient is φ = 44316780134400.

The previous prime is 232912856520907. The next prime is 232912856520983. The reversal of 232912856520960 is 69025658219232.

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

It is a junction number, because it is equal to n+sod(n) for n = 232912856520894 and 232912856520903.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25106479842 + ... + 25106489118.

It is an arithmetic number, because the mean of its divisors is an integer number (438073759200).

Almost surely, 2^{232912856520960} is an apocalyptic number.

232912856520960 is a gapful number since it is divisible by the number (20) 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 232912856520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504660970598400).

232912856520960 is an abundant number, since it is smaller than the sum of its proper divisors (776409084675840).

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

232912856520960 is a wasteful number, since it uses less digits than its factorization.

232912856520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 232912856520960 in words is "two hundred thirty-two trillion, nine hundred twelve billion, eight hundred fifty-six million, five hundred twenty thousand, nine hundred sixty".