57570136128 has 224 divisors, whose sum is σ = 171362949120. Its totient is φ = 18951528960.

The previous prime is 57570136123. The next prime is 57570136133. The reversal of 57570136128 is 82163107575.

It is a happy number.

57570136128 is a `hidden beast` number, since 5 + 7 + 570 + 13 + 61 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57570136123) and next prime (57570136133).

It is not an unprimeable number, because it can be changed into a prime (57570136123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59534301 + ... + 59535267.

Almost surely, 2^57570136128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57570136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85681474560).

57570136128 is an abundant number, since it is smaller than the sum of its proper divisors (113792812992).

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

57570136128 is a wasteful number, since it uses less digits than its factorization.

57570136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 57570136128 in words is "fifty-seven billion, five hundred seventy million, one hundred thirty-six thousand, one hundred twenty-eight".