220952684789760 has 3456 divisors, whose sum is σ = 961918681006080. Its totient is φ = 42021892915200.

The previous prime is 220952684789723. The next prime is 220952684789779. The reversal of 220952684789760 is 67987486259022.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2482614435796 + ... + 2482614435884.

It is an arithmetic number, because the mean of its divisors is an integer number (278332951680).

Almost surely, 2^{220952684789760} is an apocalyptic number.

220952684789760 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 220952684789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480959340503040).

220952684789760 is an abundant number, since it is smaller than the sum of its proper divisors (740965996216320).

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

220952684789760 is an equidigital number, since it uses as much as digits as its factorization.

220952684789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 75.

The spelling of 220952684789760 in words is "two hundred twenty trillion, nine hundred fifty-two billion, six hundred eighty-four million, seven hundred eighty-nine thousand, seven hundred sixty".