19023881071104 has 960 divisors, whose sum is σ = 71977303157760. Its totient is φ = 4721853726720.

The previous prime is 19023881071081. The next prime is 19023881071123. The reversal of 19023881071104 is 40117018832091.

It is a happy number.

19023881071104 is a `hidden beast` number, since 1 + 90 + 2 + 388 + 10 + 71 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19023881071104.

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 95 ways as a sum of consecutive naturals, for example, 1204721449 + ... + 1204737239.

It is an arithmetic number, because the mean of its divisors is an integer number (74976357456).

Almost surely, 2^{19023881071104} is an apocalyptic number.

19023881071104 is a gapful number since it is divisible by the number (14) 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 19023881071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35988651578880).

19023881071104 is an abundant number, since it is smaller than the sum of its proper divisors (52953422086656).

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

19023881071104 is a wasteful number, since it uses less digits than its factorization.

19023881071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15878 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 19023881071104 in words is "nineteen trillion, twenty-three billion, eight hundred eighty-one million, seventy-one thousand, one hundred four".