22220382960 has 480 divisors, whose sum is σ = 81285422400. Its totient is φ = 5421219840.

The previous prime is 22220382959. The next prime is 22220382991. The reversal of 22220382960 is 6928302222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97032126 + ... + 97032354.

It is an arithmetic number, because the mean of its divisors is an integer number (169344630).

Almost surely, 2^22220382960 is an apocalyptic number.

22220382960 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 22220382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642711200).

22220382960 is an abundant number, since it is smaller than the sum of its proper divisors (59065039440).

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

22220382960 is a wasteful number, since it uses less digits than its factorization.

22220382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22220382960 in words is "twenty-two billion, two hundred twenty million, three hundred eighty-two thousand, nine hundred sixty".