57948264864 has 384 divisors, whose sum is σ = 197797178880. Its totient is φ = 16162578432.

The previous prime is 57948264853. The next prime is 57948264893. The reversal of 57948264864 is 46846284975.

57948264864 is a `hidden beast` number, since 5 + 79 + 4 + 82 + 6 + 486 + 4 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93919084 + ... + 93919700.

It is an arithmetic number, because the mean of its divisors is an integer number (515096820).

Almost surely, 2^57948264864 is an apocalyptic number.

57948264864 is a gapful number since it is divisible by the number (54) 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 57948264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98898589440).

57948264864 is an abundant number, since it is smaller than the sum of its proper divisors (139848914016).

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

57948264864 is a wasteful number, since it uses less digits than its factorization.

57948264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 975 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 57948264864 in words is "fifty-seven billion, nine hundred forty-eight million, two hundred sixty-four thousand, eight hundred sixty-four".