220943596320 has 240 divisors, whose sum is σ = 789145156800. Its totient is φ = 58208150016.

The previous prime is 220943596301. The next prime is 220943596381. The reversal of 220943596320 is 23695349022.

220943596320 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 4 + 3 + 5 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 972981 + ... + 1178379.

It is an arithmetic number, because the mean of its divisors is an integer number (3288104820).

Almost surely, 2^220943596320 is an apocalyptic number.

220943596320 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 220943596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394572578400).

220943596320 is an abundant number, since it is smaller than the sum of its proper divisors (568201560480).

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

220943596320 is a wasteful number, since it uses less digits than its factorization.

220943596320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205509 (or 205492 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 220943596320 in words is "two hundred twenty billion, nine hundred forty-three million, five hundred ninety-six thousand, three hundred twenty".