57909481056 has 432 divisors, whose sum is σ = 208183772160. Its totient is φ = 15166932480.

The previous prime is 57909481051. The next prime is 57909481109. The reversal of 57909481056 is 65018490975.

57909481056 is a `hidden beast` number, since 579 + 0 + 9 + 4 + 8 + 10 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57909480993 and 57909481011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57909481051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8308485 + ... + 8315451.

It is an arithmetic number, because the mean of its divisors is an integer number (481906880).

Almost surely, 2^57909481056 is an apocalyptic number.

57909481056 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 57909481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104091886080).

57909481056 is an abundant number, since it is smaller than the sum of its proper divisors (150274291104).

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

57909481056 is a wasteful number, since it uses less digits than its factorization.

57909481056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 57909481056 in words is "fifty-seven billion, nine hundred nine million, four hundred eighty-one thousand, fifty-six".