19966573707360 has 384 divisors, whose sum is σ = 76032353617920. Its totient is φ = 4305561993216.

The previous prime is 19966573707323. The next prime is 19966573707403. The reversal of 19966573707360 is 6370737566991.

It is a super-2 number, since 2×19966573707360² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3871806 + ... + 7411074.

It is an arithmetic number, because the mean of its divisors is an integer number (198000920880).

Almost surely, 2^{19966573707360} is an apocalyptic number.

19966573707360 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 19966573707360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016176808960).

19966573707360 is an abundant number, since it is smaller than the sum of its proper divisors (56065779910560).

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

19966573707360 is a wasteful number, since it uses less digits than its factorization.

19966573707360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539390 (or 3539382 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 69.

The spelling of 19966573707360 in words is "nineteen trillion, nine hundred sixty-six billion, five hundred seventy-three million, seven hundred seven thousand, three hundred sixty".