12865586180769 has 81 divisors (see below), whose sum is σ = 21831764730867. Its totient is φ = 7279667585568.

The previous prime is 12865586180731. The next prime is 12865586180809. The reversal of 12865586180769 is 96708168556821.

The square root of 12865586180769 is 3586863.

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

12865586180769 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 558 + 6 + 1 + 8 + 0 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8967251844369 + 3898334336400 = 2994537^2 + 1974420^2 .

It is not a de Polignac number, because 12865586180769 - 2²⁹ = 12865049309857 is a prime.

It is a super-2 number, since 2×12865586180769² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12865586180697 and 12865586180706.

It is not an unprimeable number, because it can be changed into a prime (12865586184769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8210328624 + ... + 8210330190.

Almost surely, 2^{12865586180769} is an apocalyptic number.

12865586180769 is the 3586863-rd square number.

12865586180769 is the 1793432-nd centered octagonal number.

It is an amenable number.

12865586180769 is a deficient number, since it is larger than the sum of its proper divisors (8966178550098).

12865586180769 is an frugal number, since it uses more digits than its factorization.

12865586180769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 12865586180769 in words is "twelve trillion, eight hundred sixty-five billion, five hundred eighty-six million, one hundred eighty thousand, seven hundred sixty-nine".