22255725600 has 216 divisors, whose sum is σ = 78659184240. Its totient is φ = 5921256960.

The previous prime is 22255725599. The next prime is 22255725607. The reversal of 22255725600 is 652755222.

It is a happy number.

22255725600 is a `hidden beast` number, since 2 + 2 + 25 + 5 + 7 + 25 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22255725607) 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, 3359091 + ... + 3365709.

It is an arithmetic number, because the mean of its divisors is an integer number (364162890).

Almost surely, 2^22255725600 is an apocalyptic number.

22255725600 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 22255725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39329592120).

22255725600 is an abundant number, since it is smaller than the sum of its proper divisors (56403458640).

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

22255725600 is a wasteful number, since it uses less digits than its factorization.

22255725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 22255725600 in words is "twenty-two billion, two hundred fifty-five million, seven hundred twenty-five thousand, six hundred".