220252813578408 has 1024 divisors, whose sum is σ = 662168908800000. Its totient is φ = 60437781282816.

The previous prime is 220252813578353. The next prime is 220252813578467. The reversal of 220252813578408 is 804875318252022.

It is a super-2 number, since 2×220252813578408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 387087545548 + ... + 387087546116.

It is an arithmetic number, because the mean of its divisors is an integer number (646649325000).

Almost surely, 2^{220252813578408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220252813578408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331084454400000).

220252813578408 is an abundant number, since it is smaller than the sum of its proper divisors (441916095221592).

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

220252813578408 is a wasteful number, since it uses less digits than its factorization.

220252813578408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 220252813578408 in words is "two hundred twenty trillion, two hundred fifty-two billion, eight hundred thirteen million, five hundred seventy-eight thousand, four hundred eight".