220022299008800 has 162 divisors, whose sum is σ = 550592730471987. Its totient is φ = 85855647872000.

The previous prime is 220022299008767. The next prime is 220022299008823. The reversal of 220022299008800 is 8800992220022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1384792339984 + 218637506668816 = 1176772^2 + 14786396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10488620.

It is a super-2 number, since 2×220022299008800² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17201330405 + ... + 17201343195.

Almost surely, 2^{220022299008800} is an apocalyptic number.

220022299008800 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 220022299008800

220022299008800 is an abundant number, since it is smaller than the sum of its proper divisors (330570431463187).

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

220022299008800 is an frugal number, since it uses more digits than its factorization.

220022299008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25684 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 220022299008800 in words is "two hundred twenty trillion, twenty-two billion, two hundred ninety-nine million, eight thousand, eight hundred".