19091968000 has 312 divisors, whose sum is σ = 55499791464. Its totient is φ = 6537216000.

The previous prime is 19091967989. The next prime is 19091968067. The reversal of 19091968000 is 86919091.

It can be written as a sum of positive squares in 4 ways, for example, as 5732306944 + 13359661056 = 75712^2 + 115584^2 .

It is a super-2 number, since 2×19091968000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25087620 + ... + 25088380.

It is an arithmetic number, because the mean of its divisors is an integer number (177883947).

Almost surely, 2^19091968000 is an apocalyptic number.

19091968000 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 19091968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27749895732).

19091968000 is an abundant number, since it is smaller than the sum of its proper divisors (36407823464).

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

19091968000 is an frugal number, since it uses more digits than its factorization.

19091968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 19091968000 in words is "nineteen billion, ninety-one million, nine hundred sixty-eight thousand".