218918200720 has 160 divisors (see below), whose sum is σ = 537785008128. Its totient is φ = 82714351104.

The previous prime is 218918200663. The next prime is 218918200729. The reversal of 218918200720 is 27002819812.

218918200720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (218918200729) 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 31 ways as a sum of consecutive naturals, for example, 53043297 + ... + 53047423.

Almost surely, 2^218918200720 is an apocalyptic number.

218918200720 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 218918200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268892504064).

218918200720 is an abundant number, since it is smaller than the sum of its proper divisors (318866807408).

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

218918200720 is a wasteful number, since it uses less digits than its factorization.

218918200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 218918200720 in words is "two hundred eighteen billion, nine hundred eighteen million, two hundred thousand, seven hundred twenty".