19909782405504 has 448 divisors, whose sum is σ = 63368847534240. Its totient is φ = 6206343856128.

The previous prime is 19909782405493. The next prime is 19909782405547. The reversal of 19909782405504 is 40550428790991.

19909782405504 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 9 + 7 + 82 + 40 + 5 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 249009757 + ... + 249089699.

Almost surely, 2^{19909782405504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19909782405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31684423767120).

19909782405504 is an abundant number, since it is smaller than the sum of its proper divisors (43459065128736).

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

19909782405504 is an equidigital number, since it uses as much as digits as its factorization.

19909782405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80149 (or 80122 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 19909782405504 in words is "nineteen trillion, nine hundred nine billion, seven hundred eighty-two million, four hundred five thousand, five hundred four".