57005257172220 has 288 divisors, whose sum is σ = 211027252101120. Its totient is φ = 12174648675840.

The previous prime is 57005257172197. The next prime is 57005257172243. The reversal of 57005257172220 is 2227175250075.

It is a happy number.

57005257172220 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 5 + 2 + 571 + 72 + 2 + 2 + 0 = 666.

57005257172220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57005257172197) and next prime (57005257172243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24029812 + ... + 26295291.

It is an arithmetic number, because the mean of its divisors is an integer number (732733514240).

Almost surely, 2^{57005257172220} is an apocalyptic number.

It is an amenable number.

57005257172220 is an abundant number, since it is smaller than the sum of its proper divisors (154021994928900).

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

57005257172220 is a wasteful number, since it uses less digits than its factorization.

57005257172220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50325185 (or 50325180 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 57005257172220 in words is "fifty-seven trillion, five billion, two hundred fifty-seven million, one hundred seventy-two thousand, two hundred twenty".