57987601056 has 576 divisors, whose sum is σ = 218125716480. Its totient is φ = 14559782400.

The previous prime is 57987601039. The next prime is 57987601117. The reversal of 57987601056 is 65010678975.

57987601056 is a `hidden beast` number, since 579 + 8 + 7 + 6 + 0 + 10 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57987600993 and 57987601011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63932955 + ... + 63933861.

It is an arithmetic number, because the mean of its divisors is an integer number (378690480).

Almost surely, 2^57987601056 is an apocalyptic number.

57987601056 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 57987601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109062858240).

57987601056 is an abundant number, since it is smaller than the sum of its proper divisors (160138115424).

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

57987601056 is a wasteful number, since it uses less digits than its factorization.

57987601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 57987601056 in words is "fifty-seven billion, nine hundred eighty-seven million, six hundred one thousand, fifty-six".