220459438080 has 1872 divisors, whose sum is σ = 1017534510720. Its totient is φ = 42976935936.

The previous prime is 220459438051. The next prime is 220459438093. The reversal of 220459438080 is 80834954022.

220459438080 is a `hidden beast` number, since 2 + 2 + 0 + 459 + 43 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9585192949 + ... + 9585192971.

It is an arithmetic number, because the mean of its divisors is an integer number (543554760).

Almost surely, 2^220459438080 is an apocalyptic number.

220459438080 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 220459438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508767255360).

220459438080 is an abundant number, since it is smaller than the sum of its proper divisors (797075072640).

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

220459438080 is a wasteful number, since it uses less digits than its factorization.

220459438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 220459438080 in words is "two hundred twenty billion, four hundred fifty-nine million, four hundred thirty-eight thousand, eighty".