220516330160 has 240 divisors, whose sum is σ = 621752205312. Its totient is φ = 71238873600.

The previous prime is 220516330109. The next prime is 220516330163. The reversal of 220516330160 is 61033615022.

220516330160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220516330163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38609705 + ... + 38615415.

Almost surely, 2^220516330160 is an apocalyptic number.

220516330160 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 220516330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310876102656).

220516330160 is an abundant number, since it is smaller than the sum of its proper divisors (401235875152).

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

220516330160 is a wasteful number, since it uses less digits than its factorization.

220516330160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 220516330160 its reverse (61033615022), we get a palindrome (281549945182).

The spelling of 220516330160 in words is "two hundred twenty billion, five hundred sixteen million, three hundred thirty thousand, one hundred sixty".