220880554682528 has 192 divisors, whose sum is σ = 495840400473600. Its totient is φ = 96014744755200.

The previous prime is 220880554682387. The next prime is 220880554682537. The reversal of 220880554682528 is 825286455088022.

It is a super-2 number, since 2×220880554682528² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059638703 + ... + 6059675153.

It is an arithmetic number, because the mean of its divisors is an integer number (2582502085800).

Almost surely, 2^{220880554682528} 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 220880554682528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247920200236800).

220880554682528 is an abundant number, since it is smaller than the sum of its proper divisors (274959845791072).

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

220880554682528 is a wasteful number, since it uses less digits than its factorization.

220880554682528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40955 (or 40947 counting only the distinct ones).

The product of its (nonzero) digits is 196608000, while the sum is 65.

The spelling of 220880554682528 in words is "two hundred twenty trillion, eight hundred eighty billion, five hundred fifty-four million, six hundred eighty-two thousand, five hundred twenty-eight".