10789746800625 has 225 divisors, whose sum is σ = 21829003247799. Its totient is φ = 5307145272000.

The previous prime is 10789746800611. The next prime is 10789746800671. The reversal of 10789746800625 is 52600864798701.

The square root of 10789746800625 is 3284775.

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

10789746800625 is a `hidden beast` number, since 10 + 78 + 97 + 468 + 0 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10657358522721 + 132388277904 = 3264561^2 + 363852^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 10789746800625 - 2¹¹ = 10789746798577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 9607966314 + ... + 9607967436.

Almost surely, 2^{10789746800625} is an apocalyptic number.

10789746800625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10789746800625 is the 3284775-th square number.

10789746800625 is the 1642388-th centered octagonal number.

It is an amenable number.

10789746800625 is an abundant number, since it is smaller than the sum of its proper divisors (11039256447174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10789746800625 is an frugal number, since it uses more digits than its factorization.

10789746800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 10789746800625 in words is "ten trillion, seven hundred eighty-nine billion, seven hundred forty-six million, eight hundred thousand, six hundred twenty-five".