57864192120 has 576 divisors, whose sum is σ = 230275768320. Its totient is φ = 12540261888.

The previous prime is 57864192109. The next prime is 57864192157. The reversal of 57864192120 is 2129146875.

57864192120 is a `hidden beast` number, since 578 + 64 + 1 + 9 + 2 + 12 + 0 = 666.

57864192120 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51525879 + ... + 51527001.

It is an arithmetic number, because the mean of its divisors is an integer number (399784320).

Almost surely, 2^57864192120 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 57864192120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115137884160).

57864192120 is an abundant number, since it is smaller than the sum of its proper divisors (172411576200).

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

57864192120 is a wasteful number, since it uses less digits than its factorization.

57864192120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 578641 and 92120, that added together give a square (670761 = 819²).

The spelling of 57864192120 in words is "fifty-seven billion, eight hundred sixty-four million, one hundred ninety-two thousand, one hundred twenty".