19868873472000 has 2304 divisors, whose sum is σ = 88398787276800. Its totient is φ = 4191938150400.

The previous prime is 19868873471989. The next prime is 19868873472059. The reversal of 19868873472000 is 27437886891.

19868873472000 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 8 + 87 + 347 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10757375077 + ... + 10757376923.

It is an arithmetic number, because the mean of its divisors is an integer number (38367529200).

Almost surely, 2^{19868873472000} is an apocalyptic number.

19868873472000 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 19868873472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44199393638400).

19868873472000 is an abundant number, since it is smaller than the sum of its proper divisors (68529913804800).

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

19868873472000 is a wasteful number, since it uses less digits than its factorization.

19868873472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 19868873472000 in words is "nineteen trillion, eight hundred sixty-eight billion, eight hundred seventy-three million, four hundred seventy-two thousand".