22189864396800 has 1152 divisors, whose sum is σ = 78066178444800. Its totient is φ = 5552996352000.

The previous prime is 22189864396793. The next prime is 22189864396859. The reversal of 22189864396800 is 869346898122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18055218586 + ... + 18055219814.

It is an arithmetic number, because the mean of its divisors is an integer number (67765779900).

Almost surely, 2^{22189864396800} is an apocalyptic number.

22189864396800 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 22189864396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39033089222400).

22189864396800 is an abundant number, since it is smaller than the sum of its proper divisors (55876314048000).

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

22189864396800 is a wasteful number, since it uses less digits than its factorization.

22189864396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 22189864396800 in words is "twenty-two trillion, one hundred eighty-nine billion, eight hundred sixty-four million, three hundred ninety-six thousand, eight hundred".