220108209840 has 320 divisors, whose sum is σ = 765799557120. Its totient is φ = 58106280960.

The previous prime is 220108209803. The next prime is 220108209863. The reversal of 220108209840 is 48902801022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220108209795 and 220108209804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105465277 + ... + 105467363.

It is an arithmetic number, because the mean of its divisors is an integer number (2393123616).

Almost surely, 2^220108209840 is an apocalyptic number.

220108209840 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 220108209840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382899778560).

220108209840 is an abundant number, since it is smaller than the sum of its proper divisors (545691347280).

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

220108209840 is a wasteful number, since it uses less digits than its factorization.

220108209840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 220108209840 in words is "two hundred twenty billion, one hundred eight million, two hundred nine thousand, eight hundred forty".