220419727360 has 224 divisors, whose sum is σ = 612882525312. Its totient is φ = 74530160640.

The previous prime is 220419727357. The next prime is 220419727391. The reversal of 220419727360 is 63727914022.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20925295 + ... + 20935825.

Almost surely, 2^220419727360 is an apocalyptic number.

220419727360 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 220419727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306441262656).

220419727360 is an abundant number, since it is smaller than the sum of its proper divisors (392462797952).

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

220419727360 is an equidigital number, since it uses as much as digits as its factorization.

220419727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 220419727360 in words is "two hundred twenty billion, four hundred nineteen million, seven hundred twenty-seven thousand, three hundred sixty".