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Calculating very complex probability equation

I want to calculate the probability of following statement. It will be very close to $1$ ,but I need to see how close it is. I could not calculate it using standart python, so I need very sensitive tool. I think that sage can handle it. However, I could not take proper solution. Maybe, i am missing something. $$\frac{(39 \times 10^{96})!}{(39 \times 10^{96}-16 \times10^9)! \times (39 \times 10^{96})^{16 \times10^9}}$$