57477934051776 has 1344 divisors, whose sum is σ = 206679189749760. Its totient is φ = 15493315461120.

The previous prime is 57477934051753. The next prime is 57477934051823. The reversal of 57477934051776 is 67715043977475.

57477934051776 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 7 + 9 + 34 + 0 + 517 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×57477934051776² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25287255376 + ... + 25287257648.

It is an arithmetic number, because the mean of its divisors is an integer number (153779159040).

Almost surely, 2^{57477934051776} is an apocalyptic number.

57477934051776 is a gapful number since it is divisible by the number (56) 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 57477934051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103339594874880).

57477934051776 is an abundant number, since it is smaller than the sum of its proper divisors (149201255697984).

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

57477934051776 is a wasteful number, since it uses less digits than its factorization.

57477934051776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 1089093600, while the sum is 72.

The spelling of 57477934051776 in words is "fifty-seven trillion, four hundred seventy-seven billion, nine hundred thirty-four million, fifty-one thousand, seven hundred seventy-six".