Binomial Coefficients Divisible by 10

Let $T (m, n)$ be the number of the binomial coefficients $^{i} C_{n}$ that are divisible by $10$ for $n \leq i < m$ ( $i$ , $m$ and $n$ are positive integers).
You are given that $T (10^{9}, 10^{7} - 10) = 989697000$ .

Find $T (10^{18}, 10^{12} - 10)$ .

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