220393417160 has 96 divisors (see below), whose sum is σ = 578454696000. Its totient is φ = 75352733568.

The previous prime is 220393417103. The next prime is 220393417163. The reversal of 220393417160 is 61714393022.

It is not an unprimeable number, because it can be changed into a prime (220393417163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547031 + ... + 860249.

It is an arithmetic number, because the mean of its divisors is an integer number (6025569750).

Almost surely, 2^220393417160 is an apocalyptic number.

220393417160 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 220393417160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289227348000).

220393417160 is an abundant number, since it is smaller than the sum of its proper divisors (358061278840).

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

220393417160 is a wasteful number, since it uses less digits than its factorization.

220393417160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313603 (or 313592 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 220393417160 in words is "two hundred twenty billion, three hundred ninety-three million, four hundred seventeen thousand, one hundred sixty".