57536322256 has 80 divisors (see below), whose sum is σ = 129292796160. Its totient is φ = 24292961280.

The previous prime is 57536322247. The next prime is 57536322289. The reversal of 57536322256 is 65222363575.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19377540 + ... + 19380508.

It is an arithmetic number, because the mean of its divisors is an integer number (1616159952).

Almost surely, 2^57536322256 is an apocalyptic number.

57536322256 is a gapful number since it is divisible by the number (56) 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 57536322256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64646398080).

57536322256 is an abundant number, since it is smaller than the sum of its proper divisors (71756473904).

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

57536322256 is a wasteful number, since it uses less digits than its factorization.

57536322256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5486 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 46.

The spelling of 57536322256 in words is "fifty-seven billion, five hundred thirty-six million, three hundred twenty-two thousand, two hundred fifty-six".