57733570272 has 288 divisors, whose sum is σ = 184606128000. Its totient is φ = 15731530752.

The previous prime is 57733570247. The next prime is 57733570283. The reversal of 57733570272 is 27207533775.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 11319979 + ... + 11325077.

It is an arithmetic number, because the mean of its divisors is an integer number (640993500).

Almost surely, 2^57733570272 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 57733570272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92303064000).

57733570272 is an abundant number, since it is smaller than the sum of its proper divisors (126872557728).

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

57733570272 is a wasteful number, since it uses less digits than its factorization.

57733570272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 2160900, while the sum is 48.

The spelling of 57733570272 in words is "fifty-seven billion, seven hundred thirty-three million, five hundred seventy thousand, two hundred seventy-two".