220585118802720 has 768 divisors, whose sum is σ = 841507537489920. Its totient is φ = 47445792768000.

The previous prime is 220585118802677. The next prime is 220585118802757. The reversal of 220585118802720 is 27208811585022.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22279069770 + ... + 22279079670.

It is an arithmetic number, because the mean of its divisors is an integer number (1095712939440).

Almost surely, 2^{220585118802720} is an apocalyptic number.

220585118802720 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 220585118802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420753768744960).

220585118802720 is an abundant number, since it is smaller than the sum of its proper divisors (620922418687200).

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

220585118802720 is a wasteful number, since it uses less digits than its factorization.

220585118802720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12249 (or 12241 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 51.

The spelling of 220585118802720 in words is "two hundred twenty trillion, five hundred eighty-five billion, one hundred eighteen million, eight hundred two thousand, seven hundred twenty".