57931968000 has 320 divisors, whose sum is σ = 196277919552. Its totient is φ = 15154380800.

The previous prime is 57931967987. The next prime is 57931968049. The reversal of 57931968000 is 86913975.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×57931968000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10173154 + ... + 10178846.

Almost surely, 2^57931968000 is an apocalyptic number.

57931968000 is a gapful number since it is divisible by the number (50) 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 57931968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98138959776).

57931968000 is an abundant number, since it is smaller than the sum of its proper divisors (138345951552).

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

57931968000 is an equidigital number, since it uses as much as digits as its factorization.

57931968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 57931968000 in words is "fifty-seven billion, nine hundred thirty-one million, nine hundred sixty-eight thousand".