220857271288320 has 320 divisors, whose sum is σ = 716983637610240. Its totient is φ = 57989947392000.

The previous prime is 220857271288279. The next prime is 220857271288331. The reversal of 220857271288320 is 23882172758022.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139611541 + ... + 141184619.

It is an arithmetic number, because the mean of its divisors is an integer number (2240573867532).

Almost surely, 2^{220857271288320} is an apocalyptic number.

220857271288320 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 220857271288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358491818805120).

220857271288320 is an abundant number, since it is smaller than the sum of its proper divisors (496126366321920).

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

220857271288320 is a wasteful number, since it uses less digits than its factorization.

220857271288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573387 (or 1573371 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 220857271288320 in words is "two hundred twenty trillion, eight hundred fifty-seven billion, two hundred seventy-one million, two hundred eighty-eight thousand, three hundred twenty".