220954322160 has 480 divisors, whose sum is σ = 878093798400. Its totient is φ = 49085429760.

The previous prime is 220954322143. The next prime is 220954322189. The reversal of 220954322160 is 61223459022.

220954322160 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 5 + 432 + 216 + 0 = 666.

220954322160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14303721 + ... + 14319159.

It is an arithmetic number, because the mean of its divisors is an integer number (1829362080).

Almost surely, 2^220954322160 is an apocalyptic number.

220954322160 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 220954322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439046899200).

220954322160 is an abundant number, since it is smaller than the sum of its proper divisors (657139476240).

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

220954322160 is a wasteful number, since it uses less digits than its factorization.

220954322160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15621 (or 15612 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 220954322160 in words is "two hundred twenty billion, nine hundred fifty-four million, three hundred twenty-two thousand, one hundred sixty".