10792508769 has 135 divisors (see below), whose sum is σ = 20129922153. Its totient is φ = 5744535552.

The previous prime is 10792508747. The next prime is 10792508777. The reversal of 10792508769 is 96780529701.

The square root of 10792508769 is 103887.

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

10792508769 is a `hidden beast` number, since 1 + 0 + 79 + 2 + 508 + 7 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631868769 + 10160640000 = 25137^2 + 100800^2 .

It is not a de Polignac number, because 10792508769 - 2⁵ = 10792508737 is a prime.

It is a super-2 number, since 2×10792508769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10792508729) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 111262929 + ... + 111263025.

Almost surely, 2^10792508769 is an apocalyptic number.

10792508769 is the 103887-th square number.

10792508769 is the 51944-th centered octagonal number.

It is an amenable number.

10792508769 is a deficient number, since it is larger than the sum of its proper divisors (9337413384).

10792508769 is an frugal number, since it uses more digits than its factorization.

10792508769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10792508769 in words is "ten billion, seven hundred ninety-two million, five hundred eight thousand, seven hundred sixty-nine".