57612792224 has 84 divisors (see below), whose sum is σ = 123206711166. Its totient is φ = 26519231232.

The previous prime is 57612792221. The next prime is 57612792233. The reversal of 57612792224 is 42229721675.

It can be written as a sum of positive squares in 7 ways, for example, as 57567364624 + 45427600 = 239932^2 + 6740^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57612792221) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 154457702 + ... + 154458074.

Almost surely, 2^57612792224 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 57612792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603355583).

57612792224 is an abundant number, since it is smaller than the sum of its proper divisors (65593918942).

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

57612792224 is an frugal number, since it uses more digits than its factorization.

57612792224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 388 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 57612792224 in words is "fifty-seven billion, six hundred twelve million, seven hundred ninety-two thousand, two hundred twenty-four".