22395225600 has 960 divisors, whose sum is σ = 92429441280. Its totient is φ = 5264179200.

The previous prime is 22395225599. The next prime is 22395225617. The reversal of 22395225600 is 652259322.

It is a happy number.

22395225600 is a `hidden beast` number, since 2 + 2 + 3 + 95 + 2 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×22395225600² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163468732 + ... + 163468868.

It is an arithmetic number, because the mean of its divisors is an integer number (96280668).

Almost surely, 2^22395225600 is an apocalyptic number.

22395225600 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 22395225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46214720640).

22395225600 is an abundant number, since it is smaller than the sum of its proper divisors (70034215680).

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

22395225600 is a wasteful number, since it uses less digits than its factorization.

22395225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 22395225600 in words is "twenty-two billion, three hundred ninety-five million, two hundred twenty-five thousand, six hundred".