23265400900 has 81 divisors (see below), whose sum is σ = 58755483549. Its totient is φ = 7973048160.

The previous prime is 23265400897. The next prime is 23265401009. The reversal of 23265400900 is 900456232.

The square root of 23265400900 is 152530.

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

It can be written as a sum of positive squares in only one way, i.e., 8375544324 + 14889856576 = 91518^2 + 122024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10676011 + ... + 10678189.

Almost surely, 2^23265400900 is an apocalyptic number.

23265400900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23265400900 is the 152530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23265400900

23265400900 is an abundant number, since it is smaller than the sum of its proper divisors (35490082649).

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

23265400900 is an equidigital number, since it uses as much as digits as its factorization.

23265400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 23265400900 in words is "twenty-three billion, two hundred sixty-five million, four hundred thousand, nine hundred".