The club says that 70% of shirts sold at official Villa stores have "Benteke 20" on the back.
Benteke told the club's website: "That is incredible. I am really, really proud of that! It means a lot to know I have made a good impression with the fans.
"Since I have joined Villa I have had a really good relationship with fans of Villa. They are great and they are really important. They pay for tickets, they come and watch us in their thousands home and away. I couldn't be happier to know they have taken to me. It makes me very, very happy!"
The 21-year-old Belgian joined Villa in the summer, and has scored four goals in his first nine games.