57261056352 has 96 divisors (see below), whose sum is σ = 159788401920. Its totient is φ = 17903347200.

The previous prime is 57261056341. The next prime is 57261056357. The reversal of 57261056352 is 25365016275.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57261056357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28813 + ... + 339635.

It is an arithmetic number, because the mean of its divisors is an integer number (1664462520).

Almost surely, 2^57261056352 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 57261056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79894200960).

57261056352 is an abundant number, since it is smaller than the sum of its proper divisors (102527345568).

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

57261056352 is a wasteful number, since it uses less digits than its factorization.

57261056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310956 (or 310948 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 57261056352 in words is "fifty-seven billion, two hundred sixty-one million, fifty-six thousand, three hundred fifty-two".