57930633216 has 208 divisors, whose sum is σ = 172561435200. Its totient is φ = 19204964352.

The previous prime is 57930633203. The next prime is 57930633263. The reversal of 57930633216 is 61233603975.

57930633216 is a `hidden beast` number, since 5 + 7 + 9 + 3 + 0 + 633 + 2 + 1 + 6 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21785295 + ... + 21787953.

Almost surely, 2^57930633216 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 57930633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86280717600).

57930633216 is an abundant number, since it is smaller than the sum of its proper divisors (114630801984).

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

57930633216 is a wasteful number, since it uses less digits than its factorization.

57930633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 57930633216 in words is "fifty-seven billion, nine hundred thirty million, six hundred thirty-three thousand, two hundred sixteen".