57155877072 has 200 divisors, whose sum is σ = 200179526976. Its totient is φ = 15369606144.

The previous prime is 57155877067. The next prime is 57155877091. The reversal of 57155877072 is 27077855175.

57155877072 is a `hidden beast` number, since 57 + 1 + 5 + 587 + 7 + 0 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31078 + ... + 339525.

Almost surely, 2^57155877072 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 57155877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100089763488).

57155877072 is an abundant number, since it is smaller than the sum of its proper divisors (143023649904).

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

57155877072 is a wasteful number, since it uses less digits than its factorization.

57155877072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370647 (or 370632 counting only the distinct ones).

The product of its (nonzero) digits is 4802000, while the sum is 54.

The spelling of 57155877072 in words is "fifty-seven billion, one hundred fifty-five million, eight hundred seventy-seven thousand, seventy-two".