231557796933120 has 1920 divisors, whose sum is σ = 977641909770240. Its totient is φ = 49509508055040.

The previous prime is 231557796933091. The next prime is 231557796933149. The reversal of 231557796933120 is 21339697755132.

It is a happy number.

231557796933120 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 577 + 9 + 6 + 9 + 3 + 31 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (231557796933091) and next prime (231557796933149).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40503372502 + ... + 40503378218.

It is an arithmetic number, because the mean of its divisors is an integer number (509188494672).

Almost surely, 2^{231557796933120} is an apocalyptic number.

231557796933120 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 231557796933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488820954885120).

231557796933120 is an abundant number, since it is smaller than the sum of its proper divisors (746084112837120).

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

231557796933120 is a wasteful number, since it uses less digits than its factorization.

231557796933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 231557796933120 in words is "two hundred thirty-one trillion, five hundred fifty-seven billion, seven hundred ninety-six million, nine hundred thirty-three thousand, one hundred twenty".