19986894244800 has 1008 divisors, whose sum is σ = 85450749413120. Its totient is φ = 4500206346240.

The previous prime is 19986894244771. The next prime is 19986894244841. The reversal of 19986894244800 is 844249868991.

19986894244800 is a `hidden beast` number, since 1 + 9 + 9 + 86 + 89 + 424 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182292396 + ... + 182402004.

Almost surely, 2^{19986894244800} is an apocalyptic number.

19986894244800 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 19986894244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42725374706560).

19986894244800 is an abundant number, since it is smaller than the sum of its proper divisors (65463855168320).

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

19986894244800 is a wasteful number, since it uses less digits than its factorization.

19986894244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109720 (or 109693 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 19986894244800 in words is "nineteen trillion, nine hundred eighty-six billion, eight hundred ninety-four million, two hundred forty-four thousand, eight hundred".