23725240900 has 81 divisors (see below), whose sum is σ = 52447250583. Its totient is φ = 9315734400.

The previous prime is 23725240883. The next prime is 23725240901. The reversal of 23725240900 is 904252732.

It is a happy number.

The square root of 23725240900 is 154030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 129823236 + 23595417664 = 11394^2 + 153608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23725240901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112441795 + ... + 112442005.

Almost surely, 2^23725240900 is an apocalyptic number.

23725240900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23725240900 is the 154030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23725240900

23725240900 is an abundant number, since it is smaller than the sum of its proper divisors (28722009683).

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

23725240900 is an equidigital number, since it uses as much as digits as its factorization.

23725240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 23725240900 in words is "twenty-three billion, seven hundred twenty-five million, two hundred forty thousand, nine hundred".