19680985900800 has 1296 divisors, whose sum is σ = 84828053157120. Its totient is φ = 4252704768000.

The previous prime is 19680985900789. The next prime is 19680985900907. The reversal of 19680985900800 is 800958908691.

19680985900800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3991274335 + ... + 3991279265.

It is an arithmetic number, because the mean of its divisors is an integer number (65453744720).

Almost surely, 2^{19680985900800} is an apocalyptic number.

19680985900800 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 19680985900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42414026578560).

19680985900800 is an abundant number, since it is smaller than the sum of its proper divisors (65147067256320).

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

19680985900800 is a wasteful number, since it uses less digits than its factorization.

19680985900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 19680985900800 in words is "nineteen trillion, six hundred eighty billion, nine hundred eighty-five million, nine hundred thousand, eight hundred".