23925196800 has 504 divisors, whose sum is σ = 89078068170. Its totient is φ = 6370099200.

The previous prime is 23925196793. The next prime is 23925196811. The reversal of 23925196800 is 869152932.

23925196800 is a `hidden beast` number, since 239 + 251 + 96 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21828289536 + 2096907264 = 147744^2 + 45792^2 .

It is a super-3 number, since 3×23925196800³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324480 + ... + 37325120.

Almost surely, 2^23925196800 is an apocalyptic number.

23925196800 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 23925196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539034085).

23925196800 is an abundant number, since it is smaller than the sum of its proper divisors (65152871370).

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

23925196800 is an frugal number, since it uses more digits than its factorization.

23925196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 23925196800 in words is "twenty-three billion, nine hundred twenty-five million, one hundred ninety-six thousand, eight hundred".