23760506525625 has 135 divisors (see below), whose sum is σ = 43376351309577. Its totient is φ = 12529350540000.

The previous prime is 23760506525593. The next prime is 23760506525653. The reversal of 23760506525625 is 52652560506732.

The square root of 23760506525625 is 4874475.

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

23760506525625 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 0 + 5 + 0 + 6 + 5 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1862823711609 + 21897682814016 = 1364853^2 + 4679496^2 .

It is not a de Polignac number, because 23760506525625 - 2⁵ = 23760506525593 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 134 ways as a sum of consecutive naturals, for example, 37655319060 + ... + 37655319690.

Almost surely, 2^{23760506525625} is an apocalyptic number.

23760506525625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23760506525625 is the 4874475-th square number.

23760506525625 is the 2437238-th centered octagonal number.

It is an amenable number.

23760506525625 is a deficient number, since it is larger than the sum of its proper divisors (19615844783952).

23760506525625 is an frugal number, since it uses more digits than its factorization.

23760506525625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 23760506525625 in words is "twenty-three trillion, seven hundred sixty billion, five hundred six million, five hundred twenty-five thousand, six hundred twenty-five".