22925260800 has 864 divisors, whose sum is σ = 91491800400. Its totient is φ = 5449973760.

The previous prime is 22925260793. The next prime is 22925260811. The reversal of 22925260800 is 806252922.

22925260800 is a `hidden beast` number, since 2 + 29 + 25 + 2 + 608 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257587156 + ... + 257587244.

Almost surely, 2^22925260800 is an apocalyptic number.

22925260800 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 22925260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45745900200).

22925260800 is an abundant number, since it is smaller than the sum of its proper divisors (68566539600).

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

22925260800 is a wasteful number, since it uses less digits than its factorization.

22925260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22925260800 in words is "twenty-two billion, nine hundred twenty-five million, two hundred sixty thousand, eight hundred".