57061772256 has 96 divisors (see below), whose sum is σ = 151714442880. Its totient is φ = 18776231424.

The previous prime is 57061772239. The next prime is 57061772269. The reversal of 57061772256 is 65227716075.

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

It is a super-2 number, since 2×57061772256² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14252751 + ... + 14256753.

It is an arithmetic number, because the mean of its divisors is an integer number (1580358780).

Almost surely, 2^57061772256 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 57061772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75857221440).

57061772256 is an abundant number, since it is smaller than the sum of its proper divisors (94652670624).

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

57061772256 is a wasteful number, since it uses less digits than its factorization.

57061772256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 57061772256 in words is "fifty-seven billion, sixty-one million, seven hundred seventy-two thousand, two hundred fifty-six".