57725546790912 has 2304 divisors, whose sum is σ = 219002231347200. Its totient is φ = 13317754060800.

The previous prime is 57725546790851. The next prime is 57725546790949. The reversal of 57725546790912 is 21909764552775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790760914908 + ... + 790760914980.

It is an arithmetic number, because the mean of its divisors is an integer number (95053051800).

Almost surely, 2^{57725546790912} is an apocalyptic number.

57725546790912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57725546790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109501115673600).

57725546790912 is an abundant number, since it is smaller than the sum of its proper divisors (161276684556288).

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

57725546790912 is an equidigital number, since it uses as much as digits as its factorization.

57725546790912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 333396000, while the sum is 69.

The spelling of 57725546790912 in words is "fifty-seven trillion, seven hundred twenty-five billion, five hundred forty-six million, seven hundred ninety thousand, nine hundred twelve".