Determinant of a product of column-replaced identities

For $j=1,2,…,5$, let $P_j$ be the matrix of order $5\times5$ obtained by replacing the $j^{th}$ column of the identity matrix of order $5\times5$ with the column vector $v=(5 4 3 2 1)^T$. Then the determinant of the matrix product $P_1P_2P_3P_4P_5$ is __________________