57149862768 has 80 divisors (see below), whose sum is σ = 167856240640. Its totient is φ = 18606926016.

The previous prime is 57149862739. The next prime is 57149862787. The reversal of 57149862768 is 86726894175.

57149862768 is a `hidden beast` number, since 5 + 71 + 498 + 6 + 2 + 76 + 8 = 666.

It is a super-2 number, since 2×57149862768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519696 + ... + 1556847.

It is an arithmetic number, because the mean of its divisors is an integer number (2098203008).

Almost surely, 2^57149862768 is an apocalyptic number.

It is an amenable number.

57149862768 is an abundant number, since it is smaller than the sum of its proper divisors (110706377872).

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

57149862768 is a wasteful number, since it uses less digits than its factorization.

57149862768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076603 (or 3076591 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 57149862768 in words is "fifty-seven billion, one hundred forty-nine million, eight hundred sixty-two thousand, seven hundred sixty-eight".