How many Christmas songs are there?

There are songs written especially for Christmas. There are also songs that are traditionally associated with Christmas but that are not explicitly for or about Christmas. There are many pieces of religious music that can be used at any season, including Christmas. And there are holiday-related verses that aren't really songs but that may have been set to music. There are songs in all four categories in many languages. And there are new songs being written all the time, sometimes for movies, sometimes for particular local events such as a church pageant, sometimes for commercial production. So there is no way to count how many Christmas songs there are.