57925924763616 has 2304 divisors, whose sum is σ = 219879501004800. Its totient is φ = 14143805964288.

The previous prime is 57925924763579. The next prime is 57925924763617. The reversal of 57925924763616 is 61636742952975.

57925924763616 is a `hidden beast` number, since 5 + 7 + 9 + 2 + 5 + 92 + 476 + 3 + 61 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57925924763617) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 456109643745 + ... + 456109643871.

It is an arithmetic number, because the mean of its divisors is an integer number (95433811200).

Almost surely, 2^{57925924763616} is an apocalyptic number.

57925924763616 is a gapful number since it is divisible by the number (56) 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 57925924763616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109939750502400).

57925924763616 is an abundant number, since it is smaller than the sum of its proper divisors (161953576241184).

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

57925924763616 is a wasteful number, since it uses less digits than its factorization.

57925924763616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 301 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 57925924763616 in words is "fifty-seven trillion, nine hundred twenty-five billion, nine hundred twenty-four million, seven hundred sixty-three thousand, six hundred sixteen".