57238805768760 has 1152 divisors, whose sum is σ = 239354048606400. Its totient is φ = 11827188172800.

The previous prime is 57238805768747. The next prime is 57238805768783. The reversal of 57238805768760 is 6786750883275.

57238805768760 is a `hidden beast` number, since 5 + 72 + 388 + 0 + 57 + 68 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4249663306 + ... + 4249676774.

Almost surely, 2^{57238805768760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57238805768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119677024303200).

57238805768760 is an abundant number, since it is smaller than the sum of its proper divisors (182115242837640).

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

57238805768760 is a wasteful number, since it uses less digits than its factorization.

57238805768760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 57238805768760 in words is "fifty-seven trillion, two hundred thirty-eight billion, eight hundred five million, seven hundred sixty-eight thousand, seven hundred sixty".