57599466768 has 200 divisors, whose sum is σ = 168553285560. Its totient is φ = 18988646400.

The previous prime is 57599466737. The next prime is 57599466773. The reversal of 57599466768 is 86766499575.

57599466768 is a `hidden beast` number, since 5 + 7 + 5 + 99 + 466 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40541017104 + 17058449664 = 201348^2 + 130608^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 57599466696 and 57599466705.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71197948 + ... + 71198756.

Almost surely, 2^57599466768 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 57599466768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84276642780).

57599466768 is an abundant number, since it is smaller than the sum of its proper divisors (110953818792).

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

57599466768 is a wasteful number, since it uses less digits than its factorization.

57599466768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1352 counting only the distinct ones).

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

The spelling of 57599466768 in words is "fifty-seven billion, five hundred ninety-nine million, four hundred sixty-six thousand, seven hundred sixty-eight".