18966873208320 has 240 divisors, whose sum is σ = 65698604386272. Its totient is φ = 5056986808320.

The previous prime is 18966873208277. The next prime is 18966873208333. The reversal of 18966873208320 is 2380237866981.

18966873208320 is a `hidden beast` number, since 1 + 89 + 66 + 87 + 320 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144233800 + ... + 144365240.

Almost surely, 2^{18966873208320} is an apocalyptic number.

18966873208320 is a gapful number since it is divisible by the number (10) 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 18966873208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32849302193136).

18966873208320 is an abundant number, since it is smaller than the sum of its proper divisors (46731731177952).

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

18966873208320 is a wasteful number, since it uses less digits than its factorization.

18966873208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137733 (or 137714 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18966873208320 in words is "eighteen trillion, nine hundred sixty-six billion, eight hundred seventy-three million, two hundred eight thousand, three hundred twenty".