10792506188025 has 81 divisors (see below), whose sum is σ = 20403293929551. Its totient is φ = 5452582690080.

The previous prime is 10792506188003. The next prime is 10792506188027. The reversal of 10792506188025 is 52088160529701.

The square root of 10792506188025 is 3285195.

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

10792506188025 is a `hidden beast` number, since 10 + 7 + 9 + 2 + 5 + 0 + 618 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3885302227689 + 6907203960336 = 1971117^2 + 2628156^2 .

It is not a de Polignac number, because 10792506188025 - 2²⁷ = 10792371970297 is a prime.

It is a super-3 number, since 3×10792506188025³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10792506188027) 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, 936274812 + ... + 936286338.

Almost surely, 2^{10792506188025} is an apocalyptic number.

10792506188025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10792506188025 is the 3285195-th square number.

10792506188025 is the 1642598-th centered octagonal number.

It is an amenable number.

10792506188025 is a deficient number, since it is larger than the sum of its proper divisors (9610787741526).

10792506188025 is an frugal number, since it uses more digits than its factorization.

10792506188025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23108 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10792506188025 in words is "ten trillion, seven hundred ninety-two billion, five hundred six million, one hundred eighty-eight thousand, twenty-five".