57477052133760 has 512 divisors, whose sum is σ = 220486279910400. Its totient is φ = 12441327501312.

The previous prime is 57477052133723. The next prime is 57477052133821. The reversal of 57477052133760 is 6733125077475.

It is a super-2 number, since 2×57477052133760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 57477052133760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678449164 + ... + 678533876.

It is an arithmetic number, because the mean of its divisors is an integer number (430637265450).

Almost surely, 2^{57477052133760} 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 57477052133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110243139955200).

57477052133760 is an abundant number, since it is smaller than the sum of its proper divisors (163009227776640).

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

57477052133760 is a wasteful number, since it uses less digits than its factorization.

57477052133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87418 (or 87406 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 57.

The spelling of 57477052133760 in words is "fifty-seven trillion, four hundred seventy-seven billion, fifty-two million, one hundred thirty-three thousand, seven hundred sixty".