19669880805120 has 2592 divisors, whose sum is σ = 91053630420480. Its totient is φ = 3874373959680.

The previous prime is 19669880805103. The next prime is 19669880805247. The reversal of 19669880805120 is 2150808896691.

It is a super-3 number, since 3×19669880805120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9899284767 + ... + 9899286753.

It is an arithmetic number, because the mean of its divisors is an integer number (35128715440).

Almost surely, 2^{19669880805120} is an apocalyptic number.

19669880805120 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 19669880805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45526815210240).

19669880805120 is an abundant number, since it is smaller than the sum of its proper divisors (71383749615360).

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

19669880805120 is a wasteful number, since it uses less digits than its factorization.

19669880805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 19669880805120 in words is "nineteen trillion, six hundred sixty-nine billion, eight hundred eighty million, eight hundred five thousand, one hundred twenty".