22025044164200 has 768 divisors, whose sum is σ = 66520725258240. Its totient is φ = 6584094720000.

The previous prime is 22025044164197. The next prime is 22025044164239. The reversal of 22025044164200 is 246144052022.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8494038104 + ... + 8494040696.

It is an arithmetic number, because the mean of its divisors is an integer number (86615527680).

Almost surely, 2^{22025044164200} is an apocalyptic number.

22025044164200 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 22025044164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33260362629120).

22025044164200 is an abundant number, since it is smaller than the sum of its proper divisors (44495681094040).

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

22025044164200 is a wasteful number, since it uses less digits than its factorization.

22025044164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 22025044164200 in words is "twenty-two trillion, twenty-five billion, forty-four million, one hundred sixty-four thousand, two hundred".