10774970375625 has 135 divisors (see below), whose sum is σ = 20208044779923. Its totient is φ = 5743105740000.

The previous prime is 10774970375597. The next prime is 10774970375671. The reversal of 10774970375625 is 52657307947701.

The square root of 10774970375625 is 3282525.

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

10774970375625 is a `hidden beast` number, since 1 + 0 + 77 + 497 + 0 + 3 + 7 + 56 + 25 = 666.

10774970375625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5391809388729 + 5383160986896 = 2322027^2 + 2320164^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10774970375625 - 2⁵ = 10774970375593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6647112315 + ... + 6647113935.

Almost surely, 2^{10774970375625} is an apocalyptic number.

10774970375625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10774970375625 is the 3282525-th square number.

10774970375625 is the 1641263-rd centered octagonal number.

It is an amenable number.

10774970375625 is a deficient number, since it is larger than the sum of its proper divisors (9433074404298).

10774970375625 is an frugal number, since it uses more digits than its factorization.

10774970375625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 10774970375625 in words is "ten trillion, seven hundred seventy-four billion, nine hundred seventy million, three hundred seventy-five thousand, six hundred twenty-five".