23827009600 has 189 divisors, whose sum is σ = 62556563863. Its totient is φ = 8930652160.

The previous prime is 23827009571. The next prime is 23827009627. The reversal of 23827009600 is 690072832.

The square root of 23827009600 is 154360.

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 557337664 + 23269671936 = 23608^2 + 152544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23827009600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104964687 + ... + 104964913.

Almost surely, 2^23827009600 is an apocalyptic number.

23827009600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23827009600 is the 154360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23827009600

23827009600 is an abundant number, since it is smaller than the sum of its proper divisors (38729554263).

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

23827009600 is an equidigital number, since it uses as much as digits as its factorization.

23827009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 23827009600 in words is "twenty-three billion, eight hundred twenty-seven million, nine thousand, six hundred".