22086328320 has 672 divisors, whose sum is σ = 91025520768. Its totient is φ = 5032378368.

The previous prime is 22086328309. The next prime is 22086328331. The reversal of 22086328320 is 2382368022.

22086328320 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 6 + 328 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (22086328309) and next prime (22086328331).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672802 + ... + 69673118.

It is an arithmetic number, because the mean of its divisors is an integer number (135454644).

Almost surely, 2^22086328320 is an apocalyptic number.

22086328320 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 22086328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45512760384).

22086328320 is an abundant number, since it is smaller than the sum of its proper divisors (68939192448).

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

22086328320 is an frugal number, since it uses more digits than its factorization.

22086328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22086328320 in words is "twenty-two billion, eighty-six million, three hundred twenty-eight thousand, three hundred twenty".