Product of two matrices A and B, such that columns of A are orthogonal to columns of B.

Question

Let $A$ and $B$ be $d \times n$ matrices, such that for each $1\leq i,j\leq n$, column $i$ of $A$ is orthogonal to the $j$-th column of $B$. Can we say something about $\|AB^T\|$? Here, $\|\cdot\|$ denotes the spectral norm. Also, assume that $n \leq d$.