218039705088 has 320 divisors, whose sum is σ = 628857250560. Its totient is φ = 66910814208.

The previous prime is 218039705083. The next prime is 218039705237. The reversal of 218039705088 is 880507930812.

It is a self number, because there is not a number n which added to its sum of digits gives 218039705088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218039705083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367688920 + ... + 367689512.

It is an arithmetic number, because the mean of its divisors is an integer number (1965178908).

Almost surely, 2^218039705088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218039705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314428625280).

218039705088 is an abundant number, since it is smaller than the sum of its proper divisors (410817545472).

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

218039705088 is a wasteful number, since it uses less digits than its factorization.

218039705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 218039705088 in words is "two hundred eighteen billion, thirty-nine million, seven hundred five thousand, eighty-eight".