22225589812800 has 504 divisors, whose sum is σ = 86232942494400. Its totient is φ = 5384483942400.

The previous prime is 22225589812721. The next prime is 22225589812819. The reversal of 22225589812800 is 821898552222.

22225589812800 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 558 + 9 + 8 + 1 + 2 + 80 + 0 = 666.

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, 245316309 + ... + 245406891.

Almost surely, 2^{22225589812800} is an apocalyptic number.

22225589812800 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 22225589812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43116471247200).

22225589812800 is an abundant number, since it is smaller than the sum of its proper divisors (64007352681600).

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

22225589812800 is a wasteful number, since it uses less digits than its factorization.

22225589812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92171 (or 92153 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 22225589812800 in words is "twenty-two trillion, two hundred twenty-five billion, five hundred eighty-nine million, eight hundred twelve thousand, eight hundred".