19966347168768 has 2112 divisors, whose sum is σ = 84342227235840. Its totient is φ = 4577977958400.

The previous prime is 19966347168739. The next prime is 19966347168841. The reversal of 19966347168768 is 86786174366991.

19966347168768 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 3 + 471 + 6 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4455777088 + ... + 4455781568.

Almost surely, 2^{19966347168768} is an apocalyptic number.

19966347168768 is a gapful number since it is divisible by the number (18) 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 19966347168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42171113617920).

19966347168768 is an abundant number, since it is smaller than the sum of its proper divisors (64375880067072).

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

19966347168768 is a wasteful number, since it uses less digits than its factorization.

19966347168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4540 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 81.

The spelling of 19966347168768 in words is "nineteen trillion, nine hundred sixty-six billion, three hundred forty-seven million, one hundred sixty-eight thousand, seven hundred sixty-eight".