218180066857920 has 672 divisors, whose sum is σ = 798439202346240. Its totient is φ = 56688939417600.

The previous prime is 218180066857873. The next prime is 218180066857939. The reversal of 218180066857920 is 29758660081812.

218180066857920 is a `hidden beast` number, since 21 + 8 + 18 + 0 + 0 + 6 + 6 + 8 + 579 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518215495 + ... + 518636345.

It is an arithmetic number, because the mean of its divisors is an integer number (1188153574920).

Almost surely, 2^{218180066857920} is an apocalyptic number.

218180066857920 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 218180066857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399219601173120).

218180066857920 is an abundant number, since it is smaller than the sum of its proper divisors (580259135488320).

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

218180066857920 is a wasteful number, since it uses less digits than its factorization.

218180066857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421055 (or 421033 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 218180066857920 in words is "two hundred eighteen trillion, one hundred eighty billion, sixty-six million, eight hundred fifty-seven thousand, nine hundred twenty".