218680315082880 has 3072 divisors, whose sum is σ = 892682564659200. Its totient is φ = 45248407142400.

The previous prime is 218680315082857. The next prime is 218680315082893. The reversal of 218680315082880 is 88280513086812.

It is a super-3 number, since 3×218680315082880³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 660665604315 + ... + 660665604645.

It is an arithmetic number, because the mean of its divisors is an integer number (290586772350).

Almost surely, 2^{218680315082880} is an apocalyptic number.

218680315082880 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 218680315082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446341282329600).

218680315082880 is an abundant number, since it is smaller than the sum of its proper divisors (674002249576320).

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

218680315082880 is a wasteful number, since it uses less digits than its factorization.

218680315082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 60.

The spelling of 218680315082880 in words is "two hundred eighteen trillion, six hundred eighty billion, three hundred fifteen million, eighty-two thousand, eight hundred eighty".