19869305088000 has 384 divisors, whose sum is σ = 66591802892160. Its totient is φ = 5259778457600.

The previous prime is 19869305087963. The next prime is 19869305088041. The reversal of 19869305088000 is 88050396891.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105121579 + ... + 105310421.

It is an arithmetic number, because the mean of its divisors is an integer number (173416153365).

Almost surely, 2^{19869305088000} is an apocalyptic number.

19869305088000 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 19869305088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295901446080).

19869305088000 is an abundant number, since it is smaller than the sum of its proper divisors (46722497804160).

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

19869305088000 is a wasteful number, since it uses less digits than its factorization.

19869305088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189020 (or 188990 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 19869305088000 in words is "nineteen trillion, eight hundred sixty-nine billion, three hundred five million, eighty-eight thousand".