Automagically is defined as an action that happens so easily, it seems like it was done using a spell or a trick.
An example of automagically is when a computer backs up your data every evening without you needing to take any actions.
Browse entries near automagically
autologous
autolysate
autolysin
autolysis
autolyze
automaker
automata
automated teller machine
automate
automatic direction finder