19671340800 has 216 divisors, whose sum is σ = 66505587120. Its totient is φ = 5117542400.

The previous prime is 19671340771. The next prime is 19671340823. The reversal of 19671340800 is 804317691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774706 + ... + 799694.

Almost surely, 2^19671340800 is an apocalyptic number.

19671340800 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 19671340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33252793560).

19671340800 is an abundant number, since it is smaller than the sum of its proper divisors (46834246320).

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

19671340800 is a wasteful number, since it uses less digits than its factorization.

19671340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25059 (or 25040 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 19671340800 in words is "nineteen billion, six hundred seventy-one million, three hundred forty thousand, eight hundred".