219980117824560 has 400 divisors, whose sum is σ = 771695041883040. Its totient is φ = 58072511692800.

The previous prime is 219980117824559. The next prime is 219980117824591. The reversal of 219980117824560 is 65428711089912.

219980117824560 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 8 + 0 + 1 + 178 + 2 + 456 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 5843833099 + ... + 5843870741.

Almost surely, 2^{219980117824560} is an apocalyptic number.

219980117824560 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 219980117824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385847520941520).

219980117824560 is an abundant number, since it is smaller than the sum of its proper divisors (551714924058480).

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

219980117824560 is a wasteful number, since it uses less digits than its factorization.

219980117824560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46698 (or 46683 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 219980117824560 in words is "two hundred nineteen trillion, nine hundred eighty billion, one hundred seventeen million, eight hundred twenty-four thousand, five hundred sixty".