57587077446696 has 640 divisors, whose sum is σ = 198116281440000. Its totient is φ = 15578461914624.

The previous prime is 57587077446653. The next prime is 57587077446707. The reversal of 57587077446696 is 69664477078575.

57587077446696 is a `hidden beast` number, since 5 + 7 + 5 + 87 + 0 + 7 + 7 + 446 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10798249246 + ... + 10798254578.

It is an arithmetic number, because the mean of its divisors is an integer number (309556689750).

Almost surely, 2^{57587077446696} is an apocalyptic number.

57587077446696 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 57587077446696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99058140720000).

57587077446696 is an abundant number, since it is smaller than the sum of its proper divisors (140529203993304).

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

57587077446696 is a wasteful number, since it uses less digits than its factorization.

57587077446696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 14936140800, while the sum is 81.

The spelling of 57587077446696 in words is "fifty-seven trillion, five hundred eighty-seven billion, seventy-seven million, four hundred forty-six thousand, six hundred ninety-six".