220103359872 has 512 divisors, whose sum is σ = 672764451840. Its totient is φ = 63696568320.

The previous prime is 220103359849. The next prime is 220103359901. The reversal of 220103359872 is 278953301022.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947817288 + ... + 1947817400.

It is an arithmetic number, because the mean of its divisors is an integer number (1313993070).

Almost surely, 2^220103359872 is an apocalyptic number.

220103359872 is a gapful number since it is divisible by the number (22) 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 220103359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336382225920).

220103359872 is an abundant number, since it is smaller than the sum of its proper divisors (452661091968).

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

220103359872 is a wasteful number, since it uses less digits than its factorization.

220103359872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

It can be divided in two parts, 220103 and 359872, that added together give a palindrome (579975).

The spelling of 220103359872 in words is "two hundred twenty billion, one hundred three million, three hundred fifty-nine thousand, eight hundred seventy-two".