231259553925120 has 1152 divisors, whose sum is σ = 938834566225920. Its totient is φ = 51549939302400.

The previous prime is 231259553925047. The next prime is 231259553925131. The reversal of 231259553925120 is 21529355952132.

231259553925120 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 5 + 95 + 5 + 39 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8580727645 + ... + 8580754595.

It is an arithmetic number, because the mean of its divisors is an integer number (814960560960).

Almost surely, 2^{231259553925120} is an apocalyptic number.

231259553925120 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 231259553925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469417283112960).

231259553925120 is an abundant number, since it is smaller than the sum of its proper divisors (707575012300800).

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

231259553925120 is a wasteful number, since it uses less digits than its factorization.

231259553925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27321 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 231259553925120 in words is "two hundred thirty-one trillion, two hundred fifty-nine billion, five hundred fifty-three million, nine hundred twenty-five thousand, one hundred twenty".