218416127160 has 768 divisors, whose sum is σ = 917549337600. Its totient is φ = 40461189120.

The previous prime is 218416127129. The next prime is 218416127161. The reversal of 218416127160 is 61721614812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218416127161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32826394 + ... + 32833046.

It is an arithmetic number, because the mean of its divisors is an integer number (1194725700).

Almost surely, 2^218416127160 is an apocalyptic number.

218416127160 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 218416127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458774668800).

218416127160 is an abundant number, since it is smaller than the sum of its proper divisors (699133210440).

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

218416127160 is a wasteful number, since it uses less digits than its factorization.

218416127160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 218416127160 in words is "two hundred eighteen billion, four hundred sixteen million, one hundred twenty-seven thousand, one hundred sixty".