57497569668 has 288 divisors, whose sum is σ = 187499370240. Its totient is φ = 14423040000.

The previous prime is 57497569637. The next prime is 57497569673. The reversal of 57497569668 is 86696579475.

57497569668 is a `hidden beast` number, since 57 + 4 + 9 + 7 + 569 + 6 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57497569596 and 57497569605.

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 95 ways as a sum of consecutive naturals, for example, 11476348 + ... + 11481356.

It is an arithmetic number, because the mean of its divisors is an integer number (651039480).

Almost surely, 2^57497569668 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 57497569668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93749685120).

57497569668 is an abundant number, since it is smaller than the sum of its proper divisors (130001800572).

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

57497569668 is a wasteful number, since it uses less digits than its factorization.

57497569668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5174 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 57497569668 in words is "fifty-seven billion, four hundred ninety-seven million, five hundred sixty-nine thousand, six hundred sixty-eight".