57782254943296 has 63 divisors (see below), whose sum is σ = 124161960115893. Its totient is φ = 26668368180480.

The previous prime is 57782254943291. The next prime is 57782254943297. The reversal of 57782254943296 is 69234945228775.

The square root of 57782254943296 is 7601464.

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

57782254943296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8547670849600 + 49234584093696 = 2923640^2 + 7016736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57782254943291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 790515711 + ... + 790588801.

Almost surely, 2^{57782254943296} is an apocalyptic number.

57782254943296 is the 7601464-th square number.

It is an amenable number.

57782254943296 is an abundant number, since it is smaller than the sum of its proper divisors (66379705172597).

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

57782254943296 is an frugal number, since it uses more digits than its factorization.

57782254943296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146220 (or 73106 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 73.

The spelling of 57782254943296 in words is "fifty-seven trillion, seven hundred eighty-two billion, two hundred fifty-four million, nine hundred forty-three thousand, two hundred ninety-six".