23808225600 has 252 divisors, whose sum is σ = 84788491840. Its totient is φ = 6336230400.

The previous prime is 23808225583. The next prime is 23808225607. The reversal of 23808225600 is 652280832.

23808225600 is a `hidden beast` number, since 23 + 8 + 0 + 8 + 2 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23808225607) 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 35 ways as a sum of consecutive naturals, for example, 8912265 + ... + 8914935.

Almost surely, 2^23808225600 is an apocalyptic number.

23808225600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23808225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394245920).

23808225600 is an abundant number, since it is smaller than the sum of its proper divisors (60980266240).

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

23808225600 is a wasteful number, since it uses less digits than its factorization.

23808225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23808225600 in words is "twenty-three billion, eight hundred eight million, two hundred twenty-five thousand, six hundred".