22109856325200 has 2400 divisors, whose sum is σ = 96190917672960. Its totient is φ = 4757443891200.

The previous prime is 22109856325189. The next prime is 22109856325223. The reversal of 22109856325200 is 252365890122.

22109856325200 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 9 + 8 + 5 + 632 + 5 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 57728084209 + ... + 57728084591.

Almost surely, 2^{22109856325200} is an apocalyptic number.

22109856325200 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 22109856325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48095458836480).

22109856325200 is an abundant number, since it is smaller than the sum of its proper divisors (74081061347760).

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

22109856325200 is a wasteful number, since it uses less digits than its factorization.

22109856325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 22109856325200 in words is "twenty-two trillion, one hundred nine billion, eight hundred fifty-six million, three hundred twenty-five thousand, two hundred".