57935946816 has 448 divisors, whose sum is σ = 191190067200. Its totient is φ = 17054668800.

The previous prime is 57935946799. The next prime is 57935946833. The reversal of 57935946816 is 61864953975.

57935946816 is a `hidden beast` number, since 579 + 3 + 5 + 9 + 46 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (57935946799) and next prime (57935946833).

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, 131972325 + ... + 131972763.

Almost surely, 2^57935946816 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 57935946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95595033600).

57935946816 is an abundant number, since it is smaller than the sum of its proper divisors (133254120384).

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

57935946816 is a wasteful number, since it uses less digits than its factorization.

57935946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 57935946816 in words is "fifty-seven billion, nine hundred thirty-five million, nine hundred forty-six thousand, eight hundred sixteen".