22380320476800 has 1920 divisors, whose sum is σ = 99655271654400. Its totient is φ = 4872528691200.

The previous prime is 22380320476783. The next prime is 22380320476819. The reversal of 22380320476800 is 867402308322.

22380320476800 is a `hidden beast` number, since 2 + 2 + 3 + 80 + 3 + 20 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 239 ways as a sum of consecutive naturals, for example, 1371419041 + ... + 1371435359.

It is an arithmetic number, because the mean of its divisors is an integer number (51903787320).

Almost surely, 2^{22380320476800} is an apocalyptic number.

22380320476800 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 22380320476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827635827200).

22380320476800 is an abundant number, since it is smaller than the sum of its proper divisors (77274951177600).

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

22380320476800 is a wasteful number, since it uses less digits than its factorization.

22380320476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16416 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22380320476800 in words is "twenty-two trillion, three hundred eighty billion, three hundred twenty million, four hundred seventy-six thousand, eight hundred".