57933360864 has 288 divisors, whose sum is σ = 179239042080. Its totient is φ = 18202060800.

The previous prime is 57933360851. The next prime is 57933360887. The reversal of 57933360864 is 46806333975.

57933360864 is a `hidden beast` number, since 579 + 3 + 3 + 3 + 6 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57933360864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87644694 + ... + 87645354.

It is an arithmetic number, because the mean of its divisors is an integer number (622357785).

Almost surely, 2^57933360864 is an apocalyptic number.

57933360864 is a gapful number since it is divisible by the number (54) 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 57933360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89619521040).

57933360864 is an abundant number, since it is smaller than the sum of its proper divisors (121305681216).

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

57933360864 is a wasteful number, since it uses less digits than its factorization.

57933360864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 57933360864 in words is "fifty-seven billion, nine hundred thirty-three million, three hundred sixty thousand, eight hundred sixty-four".