57233045727720 has 256 divisors, whose sum is σ = 191769470956800. Its totient is φ = 15182753080320.

The previous prime is 57233045727719. The next prime is 57233045727731. The reversal of 57233045727720 is 2772754033275.

57233045727720 is a `hidden beast` number, since 5 + 72 + 3 + 30 + 457 + 2 + 77 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2663106175 + ... + 2663127665.

It is an arithmetic number, because the mean of its divisors is an integer number (749099495925).

Almost surely, 2^{57233045727720} 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 57233045727720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95884735478400).

57233045727720 is an abundant number, since it is smaller than the sum of its proper divisors (134536425229080).

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

57233045727720 is a wasteful number, since it uses less digits than its factorization.

57233045727720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34225 (or 34215 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 54.

The spelling of 57233045727720 in words is "fifty-seven trillion, two hundred thirty-three billion, forty-five million, seven hundred twenty-seven thousand, seven hundred twenty".