220322856960 has 456 divisors, whose sum is σ = 804801516480. Its totient is φ = 55603888128.

The previous prime is 220322856959. The next prime is 220322856983. The reversal of 220322856960 is 69658223022.

220322856960 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 2 + 28 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (456).

It is a super-2 number, since 2×220322856960² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224132629 + ... + 224133611.

Almost surely, 2^220322856960 is an apocalyptic number.

220322856960 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 220322856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402400758240).

220322856960 is an abundant number, since it is smaller than the sum of its proper divisors (584478659520).

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

220322856960 is an frugal number, since it uses more digits than its factorization.

220322856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 220322856960 in words is "two hundred twenty billion, three hundred twenty-two million, eight hundred fifty-six thousand, nine hundred sixty".