19119919104000 has 3840 divisors, whose sum is σ = 86929180715520. Its totient is φ = 4140564480000.

The previous prime is 19119919103921. The next prime is 19119919104001. The reversal of 19119919104000 is 40191991191.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19119919104001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 616771583985 + ... + 616771584015.

It is an arithmetic number, because the mean of its divisors is an integer number (22637807478).

Almost surely, 2^{19119919104000} is an apocalyptic number.

19119919104000 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 19119919104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464590357760).

19119919104000 is an abundant number, since it is smaller than the sum of its proper divisors (67809261611520).

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

19119919104000 is an equidigital number, since it uses as much as digits as its factorization.

19119919104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 45.

The spelling of 19119919104000 in words is "nineteen trillion, one hundred nineteen billion, nine hundred nineteen million, one hundred four thousand".