23125363200 has 360 divisors, whose sum is σ = 83271741696. Its totient is φ = 6128640000.

The previous prime is 23125363187. The next prime is 23125363207. The reversal of 23125363200 is 236352132.

23125363200 is a `hidden beast` number, since 2 + 3 + 1 + 25 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23125363207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22002675 + ... + 22003725.

Almost surely, 2^23125363200 is an apocalyptic number.

23125363200 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 23125363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41635870848).

23125363200 is an abundant number, since it is smaller than the sum of its proper divisors (60146378496).

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

23125363200 is a wasteful number, since it uses less digits than its factorization.

23125363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 23125363200 in words is "twenty-three billion, one hundred twenty-five million, three hundred sixty-three thousand, two hundred".