57765238336 has 63 divisors (see below), whose sum is σ = 124177429953. Its totient is φ = 26649342720.

The previous prime is 57765238313. The next prime is 57765238339. The reversal of 57765238336 is 63383256775.

The square root of 57765238336 is 240344.

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., 8545153600 + 49220084736 = 92440^2 + 221856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57765238339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24994621 + ... + 24996931.

Almost surely, 2^57765238336 is an apocalyptic number.

57765238336 is the 240344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57765238336

57765238336 is an abundant number, since it is smaller than the sum of its proper divisors (66412191617).

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

57765238336 is an frugal number, since it uses more digits than its factorization.

57765238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 2326 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 55.

The spelling of 57765238336 in words is "fifty-seven billion, seven hundred sixty-five million, two hundred thirty-eight thousand, three hundred thirty-six".