220908426672960 has 1792 divisors, whose sum is σ = 877365336960000. Its totient is φ = 51951057371136.

The previous prime is 220908426672907. The next prime is 220908426673003. The reversal of 220908426672960 is 69276624809022.

220908426672960 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 0 + 84 + 266 + 7 + 296 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 179746481626 + ... + 179746482854.

It is an arithmetic number, because the mean of its divisors is an integer number (489601192500).

Almost surely, 2^{220908426672960} is an apocalyptic number.

220908426672960 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 220908426672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438682668480000).

220908426672960 is an abundant number, since it is smaller than the sum of its proper divisors (656456910287040).

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

220908426672960 is a wasteful number, since it uses less digits than its factorization.

220908426672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 220908426672960 in words is "two hundred twenty trillion, nine hundred eight billion, four hundred twenty-six million, six hundred seventy-two thousand, nine hundred sixty".