220880480800 has 288 divisors, whose sum is σ = 651672290304. Its totient is φ = 71497728000.

The previous prime is 220880480747. The next prime is 220880480809. The reversal of 220880480800 is 8084088022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (220880480809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7102084 + ... + 7133116.

It is an arithmetic number, because the mean of its divisors is an integer number (2262751008).

Almost surely, 2^220880480800 is an apocalyptic number.

220880480800 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 220880480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325836145152).

220880480800 is an abundant number, since it is smaller than the sum of its proper divisors (430791809504).

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

220880480800 is a wasteful number, since it uses less digits than its factorization.

220880480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31132 (or 31119 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 220880480800 in words is "two hundred twenty billion, eight hundred eighty million, four hundred eighty thousand, eight hundred".