12759057936 has 45 divisors (see below), whose sum is σ = 35711435149. Its totient is φ = 4252567488.

The previous prime is 12759057929. The next prime is 12759058001. The reversal of 12759057936 is 63975095721.

The square root of 12759057936 is 112956.

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

12759057936 is a `hidden beast` number, since 12 + 7 + 59 + 0 + 579 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12737379600 + 21678336 = 112860^2 + 4656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1350766 + ... + 1360178.

Almost surely, 2^12759057936 is an apocalyptic number.

12759057936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12759057936 is the 112956-th square number.

It is an amenable number.

12759057936 is an abundant number, since it is smaller than the sum of its proper divisors (22952377213).

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

12759057936 is an frugal number, since it uses more digits than its factorization.

12759057936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18840 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 12759057936 in words is "twelve billion, seven hundred fifty-nine million, fifty-seven thousand, nine hundred thirty-six".