19668805976820 has 384 divisors, whose sum is σ = 73991129812992. Its totient is φ = 3770218598400.

The previous prime is 19668805976791. The next prime is 19668805976851. The reversal of 19668805976820 is 2867950886691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94250032 + ... + 94458488.

It is an arithmetic number, because the mean of its divisors is an integer number (192685233888).

Almost surely, 2^{19668805976820} is an apocalyptic number.

19668805976820 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 19668805976820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36995564906496).

19668805976820 is an abundant number, since it is smaller than the sum of its proper divisors (54322323836172).

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

19668805976820 is a wasteful number, since it uses less digits than its factorization.

19668805976820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210071 (or 210069 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 75.

The spelling of 19668805976820 in words is "nineteen trillion, six hundred sixty-eight billion, eight hundred five million, nine hundred seventy-six thousand, eight hundred twenty".