220116772980288 has 700 divisors, whose sum is σ = 693223873343232. Its totient is φ = 69058914163200.

The previous prime is 220116772980257. The next prime is 220116772980319. The reversal of 220116772980288 is 882089277611022.

220116772980288 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 67 + 7 + 298 + 0 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (220116772980257) and next prime (220116772980319).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 112822537713 + ... + 112822539663.

Almost surely, 2^{220116772980288} 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 220116772980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346611936671616).

220116772980288 is an abundant number, since it is smaller than the sum of its proper divisors (473107100362944).

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

220116772980288 is an frugal number, since it uses more digits than its factorization.

220116772980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 220116772980288 in words is "two hundred twenty trillion, one hundred sixteen billion, seven hundred seventy-two million, nine hundred eighty thousand, two hundred eighty-eight".