57908111191920 has 1280 divisors, whose sum is σ = 222310731202560. Its totient is φ = 13738587033600.

The previous prime is 57908111191883. The next prime is 57908111191951. The reversal of 57908111191920 is 2919111180975.

57908111191920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79653522597 + ... + 79653523323.

It is an arithmetic number, because the mean of its divisors is an integer number (173680258752).

Almost surely, 2^{57908111191920} 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 57908111191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111155365601280).

57908111191920 is an abundant number, since it is smaller than the sum of its proper divisors (164402620010640).

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

57908111191920 is a wasteful number, since it uses less digits than its factorization.

57908111191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 54.

The spelling of 57908111191920 in words is "fifty-seven trillion, nine hundred eight billion, one hundred eleven million, one hundred ninety-one thousand, nine hundred twenty".