57408774040800 has 2880 divisors, whose sum is σ = 280000278835200. Its totient is φ = 11104277299200.

The previous prime is 57408774040759. The next prime is 57408774040823. The reversal of 57408774040800 is 804047780475.

57408774040800 is a `hidden beast` number, since 57 + 40 + 8 + 77 + 404 + 0 + 80 + 0 = 666.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3473206936 + ... + 3473223464.

It is an arithmetic number, because the mean of its divisors is an integer number (97222319040).

Almost surely, 2^{57408774040800} is an apocalyptic number.

57408774040800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57408774040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140000139417600).

57408774040800 is an abundant number, since it is smaller than the sum of its proper divisors (222591504794400).

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

57408774040800 is a wasteful number, since it uses less digits than its factorization.

57408774040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 57408774040800 in words is "fifty-seven trillion, four hundred eight billion, seven hundred seventy-four million, forty thousand, eight hundred".