As a Pianist, you can do many tricks to completely change how a song sounds to the audience. One of these is PolyRhythm’s, i.e playing contrasting and layered lines of rhythm vertically.
You will need to have a very good understanding of rhythm values (how long a given note lasts), syncopation (the accenting of certain beats) , and tempo (“pulse” of the song) to do this. Technique-wise, you will need a great degree of hand/finger interdependence, as each section of your hand is playing a different part (kind of like tapping on the desks with your fingers)
Here’s “Clocks” by Coldplay, played normally :