19800009504 has 288 divisors, whose sum is σ = 65132121600. Its totient is φ = 5648486400.

The previous prime is 19800009433. The next prime is 19800009533. The reversal of 19800009504 is 40590000891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3630972 + ... + 3636420.

It is an arithmetic number, because the mean of its divisors is an integer number (226153200).

Almost surely, 2^19800009504 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 19800009504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32566060800).

19800009504 is an abundant number, since it is smaller than the sum of its proper divisors (45332112096).

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

19800009504 is a wasteful number, since it uses less digits than its factorization.

19800009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 19800009504 in words is "nineteen billion, eight hundred million, nine thousand, five hundred four".