220584728360 has 64 divisors (see below), whose sum is σ = 503428452480. Its totient is φ = 86969998080.

The previous prime is 220584728321. The next prime is 220584728363. The reversal of 220584728360 is 63827485022.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (220584728363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17155694 + ... + 17168546.

It is an arithmetic number, because the mean of its divisors is an integer number (7866069570).

Almost surely, 2^220584728360 is an apocalyptic number.

220584728360 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 220584728360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251714226240).

220584728360 is an abundant number, since it is smaller than the sum of its proper divisors (282843724120).

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

220584728360 is a wasteful number, since it uses less digits than its factorization.

220584728360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978 (or 18974 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 220584728360 in words is "two hundred twenty billion, five hundred eighty-four million, seven hundred twenty-eight thousand, three hundred sixty".