232139253600 has 432 divisors, whose sum is σ = 828228989952. Its totient is φ = 61179079680.

The previous prime is 232139253581. The next prime is 232139253611. The reversal of 232139253600 is 6352931232.

232139253600 is a `hidden beast` number, since 2 + 3 + 21 + 3 + 9 + 25 + 3 + 600 = 666.

It is a super-2 number, since 2×232139253600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261712357 + ... + 261713243.

It is an arithmetic number, because the mean of its divisors is an integer number (1917196736).

Almost surely, 2^232139253600 is an apocalyptic number.

232139253600 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 232139253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414114494976).

232139253600 is an abundant number, since it is smaller than the sum of its proper divisors (596089736352).

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

232139253600 is a wasteful number, since it uses less digits than its factorization.

232139253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 232139253600 in words is "two hundred thirty-two billion, one hundred thirty-nine million, two hundred fifty-three thousand, six hundred".