56738917810576 has 45 divisors (see below), whose sum is σ = 111766975538049. Its totient is φ = 27903481905600.

The previous prime is 56738917810541. The next prime is 56738917810577. The reversal of 56738917810576 is 67501871983765.

The square root of 56738917810576 is 7532524.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1845044088976 + 54893873721600 = 1358324^2 + 7409040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56738917810499 and 56738917810508.

It is not an unprimeable number, because it can be changed into a prime (56738917810577) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1837920421 + ... + 1837951291.

Almost surely, 2^{56738917810576} is an apocalyptic number.

56738917810576 is the 7532524-th square number.

It is an amenable number.

56738917810576 is a deficient number, since it is larger than the sum of its proper divisors (55028057727473).

56738917810576 is an frugal number, since it uses more digits than its factorization.

56738917810576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61872 (or 30934 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 73.

The spelling of 56738917810576 in words is "fifty-six trillion, seven hundred thirty-eight billion, nine hundred seventeen million, eight hundred ten thousand, five hundred seventy-six".