12730157584 has 45 divisors (see below), whose sum is σ = 25097919021. Its totient is φ = 6255184320.

The previous prime is 12730157537. The next prime is 12730157593. The reversal of 12730157584 is 48575103721.

The square root of 12730157584 is 112828.

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., 60403984 + 12669753600 = 7772^2 + 112560^2 .

It is a super-2 number, since 2×12730157584² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12730157584.

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, 30237694 + ... + 30238114.

Almost surely, 2^12730157584 is an apocalyptic number.

12730157584 is the 112828-th square number.

It is an amenable number.

12730157584 is a deficient number, since it is larger than the sum of its proper divisors (12367761437).

12730157584 is an frugal number, since it uses more digits than its factorization.

12730157584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 12730157584 in words is "twelve billion, seven hundred thirty million, one hundred fifty-seven thousand, five hundred eighty-four".