232015620096000 has 2880 divisors, whose sum is σ = 942117130019520. Its totient is φ = 54539373772800.

The previous prime is 232015620095969. The next prime is 232015620096041. The reversal of 232015620096000 is 690026510232.

232015620096000 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 562 + 0 + 0 + 96 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 229637411979264 + 2378208116736 = 15153792^2 + 1542144^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1202153471904 + ... + 1202153472096.

It is an arithmetic number, because the mean of its divisors is an integer number (327124003479).

Almost surely, 2^{232015620096000} is an apocalyptic number.

232015620096000 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 232015620096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471058565009760).

232015620096000 is an abundant number, since it is smaller than the sum of its proper divisors (710101509923520).

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

232015620096000 is a wasteful number, since it uses less digits than its factorization.

232015620096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 232015620096000 in words is "two hundred thirty-two trillion, fifteen billion, six hundred twenty million, ninety-six thousand".