57388128768 has 120 divisors (see below), whose sum is σ = 171337666500. Its totient is φ = 18469699584.

The previous prime is 57388128767. The next prime is 57388128769. The reversal of 57388128768 is 86782188375.

It is an interprime number because it is at equal distance from previous prime (57388128767) and next prime (57388128769).

It can be written as a sum of positive squares in 2 ways, for example, as 56476571904 + 911556864 = 237648^2 + 30192^2 .

It is not an unprimeable number, because it can be changed into a prime (57388128761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81093 + ... + 348356.

Almost surely, 2^57388128768 is an apocalyptic number.

57388128768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57388128768 is an abundant number, since it is smaller than the sum of its proper divisors (113949537732).

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

57388128768 is a wasteful number, since it uses less digits than its factorization.

57388128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429502 (or 429483 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 57388128768 in words is "fifty-seven billion, three hundred eighty-eight million, one hundred twenty-eight thousand, seven hundred sixty-eight".