23540764900 has 81 divisors (see below), whose sum is σ = 52084719099. Its totient is φ = 9235258560.

The previous prime is 23540764873. The next prime is 23540764931. The reversal of 23540764900 is 946704532.

It is a happy number.

The square root of 23540764900 is 153430.

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 3212849124 + 20327915776 = 56682^2 + 142576^2 .

It is a super-2 number, since 2×23540764900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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, 102797986 + ... + 102798214.

Almost surely, 2^23540764900 is an apocalyptic number.

23540764900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23540764900 is the 153430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23540764900

23540764900 is an abundant number, since it is smaller than the sum of its proper divisors (28543954199).

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

23540764900 is an equidigital number, since it uses as much as digits as its factorization.

23540764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 23540764900 in words is "twenty-three billion, five hundred forty million, seven hundred sixty-four thousand, nine hundred".