22272122880 has 840 divisors, whose sum is σ = 93558660228. Its totient is φ = 5053612032.

The previous prime is 22272122863. The next prime is 22272122903. The reversal of 22272122880 is 8822127222.

It can be written as a sum of positive squares in 2 ways, for example, as 22255865856 + 16257024 = 149184^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 59 ways as a sum of consecutive naturals, for example, 162570172 + ... + 162570308.

Almost surely, 2^22272122880 is an apocalyptic number.

22272122880 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 22272122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46779330114).

22272122880 is an abundant number, since it is smaller than the sum of its proper divisors (71286537348).

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

22272122880 is an equidigital number, since it uses as much as digits as its factorization.

22272122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22272122880 in words is "twenty-two billion, two hundred seventy-two million, one hundred twenty-two thousand, eight hundred eighty".