22812825600 has 432 divisors, whose sum is σ = 84388973760. Its totient is φ = 5883494400.

The previous prime is 22812825577. The next prime is 22812825601. The reversal of 22812825600 is 652821822.

22812825600 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 28 + 25 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (22812825601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14284002 + ... + 14285598.

Almost surely, 2^22812825600 is an apocalyptic number.

22812825600 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 22812825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194486880).

22812825600 is an abundant number, since it is smaller than the sum of its proper divisors (61576148160).

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

22812825600 is a wasteful number, since it uses less digits than its factorization.

22812825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 22812825600 in words is "twenty-two billion, eight hundred twelve million, eight hundred twenty-five thousand, six hundred".