218070163120 has 80 divisors (see below), whose sum is σ = 532225935360. Its totient is φ = 82935809792.

The previous prime is 218070163117. The next prime is 218070163139. The reversal of 218070163120 is 21361070812.

218070163120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47560 + ... + 662119.

It is an arithmetic number, because the mean of its divisors is an integer number (6652824192).

Almost surely, 2^218070163120 is an apocalyptic number.

218070163120 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 218070163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112967680).

218070163120 is an abundant number, since it is smaller than the sum of its proper divisors (314155772240).

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

218070163120 is a wasteful number, since it uses less digits than its factorization.

218070163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709882 (or 709876 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 218070163120 in words is "two hundred eighteen billion, seventy million, one hundred sixty-three thousand, one hundred twenty".