57756196256 has 144 divisors (see below), whose sum is σ = 128002631400. Its totient is φ = 25624135680.

The previous prime is 57756196237. The next prime is 57756196261. The reversal of 57756196256 is 65269165775.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52128195856 + 5628000400 = 228316^2 + 75020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57756196195 and 57756196204.

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 23 ways as a sum of consecutive naturals, for example, 46993850 + ... + 46995078.

Almost surely, 2^57756196256 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 57756196256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64001315700).

57756196256 is an abundant number, since it is smaller than the sum of its proper divisors (70246435144).

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

57756196256 is a wasteful number, since it uses less digits than its factorization.

57756196256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1524 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 59.

It can be divided in two parts, 5775619 and 6256, that added together give a palindrome (5781875).

The spelling of 57756196256 in words is "fifty-seven billion, seven hundred fifty-six million, one hundred ninety-six thousand, two hundred fifty-six".