19985717314800 has 600 divisors, whose sum is σ = 73635856753536. Its totient is φ = 5188514849280.

The previous prime is 19985717314789. The next prime is 19985717314813. The reversal of 19985717314800 is 841371758991.

19985717314800 is a `hidden beast` number, since 1 + 9 + 9 + 85 + 7 + 1 + 73 + 1 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 427689037 + ... + 427735763.

Almost surely, 2^{19985717314800} is an apocalyptic number.

19985717314800 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 19985717314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817928376768).

19985717314800 is an abundant number, since it is smaller than the sum of its proper divisors (53650139438736).

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

19985717314800 is a wasteful number, since it uses less digits than its factorization.

19985717314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47107 (or 47087 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 19985717314800 in words is "nineteen trillion, nine hundred eighty-five billion, seven hundred seventeen million, three hundred fourteen thousand, eight hundred".