220420859904 has 1008 divisors, whose sum is σ = 808228380960. Its totient is φ = 59779399680.

The previous prime is 220420859849. The next prime is 220420859993. The reversal of 220420859904 is 409958024022.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 220420859904.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1682601919 + ... + 1682602049.

It is an arithmetic number, because the mean of its divisors is an integer number (801813870).

Almost surely, 2^220420859904 is an apocalyptic number.

220420859904 is a gapful number since it is divisible by the number (24) 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 220420859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404114190480).

220420859904 is an abundant number, since it is smaller than the sum of its proper divisors (587807521056).

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

220420859904 is an equidigital number, since it uses as much as digits as its factorization.

220420859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 220420859904 in words is "two hundred twenty billion, four hundred twenty million, eight hundred fifty-nine thousand, nine hundred four".