22506422400 has 1536 divisors, whose sum is σ = 109278720000. Its totient is φ = 4379443200.

The previous prime is 22506422363. The next prime is 22506422401. The reversal of 22506422400 is 422460522.

It is a happy number.

22506422400 is a `hidden beast` number, since 2 + 250 + 6 + 4 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22506422401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113097501 + ... + 113097699.

It is an arithmetic number, because the mean of its divisors is an integer number (71145000).

Almost surely, 2^22506422400 is an apocalyptic number.

22506422400 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 22506422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360000).

22506422400 is an abundant number, since it is smaller than the sum of its proper divisors (86772297600).

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

22506422400 is a wasteful number, since it uses less digits than its factorization.

22506422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22506422400 its reverse (422460522), we get a palindrome (22928882922).

The spelling of 22506422400 in words is "twenty-two billion, five hundred six million, four hundred twenty-two thousand, four hundred".