19850000000000 has 264 divisors, whose sum is σ = 49725707804136. Its totient is φ = 7920000000000.

The previous prime is 19849999999981. The next prime is 19850000000023. The reversal of 19850000000000 is 5891.

It can be written as a sum of positive squares in 12 ways, for example, as 8113291411456 + 11736708588544 = 2848384^2 + 3425888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19849999999894 and 19849999999903.

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, 49999999802 + ... + 50000000198.

Almost surely, 2^{19850000000000} is an apocalyptic number.

19850000000000 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 19850000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862853902068).

19850000000000 is an abundant number, since it is smaller than the sum of its proper divisors (29875707804136).

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

19850000000000 is an frugal number, since it uses more digits than its factorization.

19850000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 19850000000000 its reverse (5891), we get a palindrome (19850000005891).

The spelling of 19850000000000 in words is "nineteen trillion, eight hundred fifty billion", and thus it is an aban number.