218640684058160 has 640 divisors, whose sum is σ = 662599570913280. Its totient is φ = 65224350793728.

The previous prime is 218640684058127. The next prime is 218640684058187. The reversal of 218640684058160 is 61850486046812.

It is a self number, because there is not a number n which added to its sum of digits gives 218640684058160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23757540119 + ... + 23757549321.

It is an arithmetic number, because the mean of its divisors is an integer number (1035311829552).

Almost surely, 2^{218640684058160} is an apocalyptic number.

218640684058160 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 218640684058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331299785456640).

218640684058160 is an abundant number, since it is smaller than the sum of its proper divisors (443958886855120).

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

218640684058160 is a wasteful number, since it uses less digits than its factorization.

218640684058160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 59.

The spelling of 218640684058160 in words is "two hundred eighteen trillion, six hundred forty billion, six hundred eighty-four million, fifty-eight thousand, one hundred sixty".