220971063072 has 96 divisors (see below), whose sum is σ = 588204614592. Its totient is φ = 72622116864.

The previous prime is 220971062987. The next prime is 220971063077. The reversal of 220971063072 is 270360179022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 220971063072.

It is not an unprimeable number, because it can be changed into a prime (220971063077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37468828 + ... + 37474724.

It is an arithmetic number, because the mean of its divisors is an integer number (6127131402).

Almost surely, 2^220971063072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220971063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102307296).

220971063072 is an abundant number, since it is smaller than the sum of its proper divisors (367233551520).

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

220971063072 is a wasteful number, since it uses less digits than its factorization.

220971063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11330 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 220971063072 in words is "two hundred twenty billion, nine hundred seventy-one million, sixty-three thousand, seventy-two".