57809904768 has 960 divisors, whose sum is σ = 224555284800. Its totient is φ = 14433914880.

The previous prime is 57809904683. The next prime is 57809904799. The reversal of 57809904768 is 86740990875.

57809904768 is a `hidden beast` number, since 5 + 78 + 0 + 9 + 90 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254669071 + ... + 254669297.

It is an arithmetic number, because the mean of its divisors is an integer number (233911755).

Almost surely, 2^57809904768 is an apocalyptic number.

57809904768 is a gapful number since it is divisible by the number (58) 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 57809904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112277642400).

57809904768 is an abundant number, since it is smaller than the sum of its proper divisors (166745380032).

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

57809904768 is a wasteful number, since it uses less digits than its factorization.

57809904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 57809904768 in words is "fifty-seven billion, eight hundred nine million, nine hundred four thousand, seven hundred sixty-eight".