218541185160 has 128 divisors (see below), whose sum is σ = 690604272000. Its totient is φ = 55172468736.

The previous prime is 218541185153. The next prime is 218541185183. The reversal of 218541185160 is 61581145812.

It is a super-2 number, since 2×218541185160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362734 + ... + 3427106.

It is an arithmetic number, because the mean of its divisors is an integer number (5395345875).

Almost surely, 2^218541185160 is an apocalyptic number.

218541185160 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 218541185160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345302136000).

218541185160 is an abundant number, since it is smaller than the sum of its proper divisors (472063086840).

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

218541185160 is a wasteful number, since it uses less digits than its factorization.

218541185160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65895 (or 65891 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 218541185160 in words is "two hundred eighteen billion, five hundred forty-one million, one hundred eighty-five thousand, one hundred sixty".