57312752640 has 704 divisors, whose sum is σ = 218387715840. Its totient is φ = 12645826560.

The previous prime is 57312752621. The next prime is 57312752669. The reversal of 57312752640 is 4625721375.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 57312752592 and 57312752601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213058426 + ... + 213058694.

Almost surely, 2^57312752640 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 57312752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109193857920).

57312752640 is an abundant number, since it is smaller than the sum of its proper divisors (161074963200).

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

57312752640 is a wasteful number, since it uses less digits than its factorization.

57312752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 57312752640 in words is "fifty-seven billion, three hundred twelve million, seven hundred fifty-two thousand, six hundred forty".