Jake-the-peg is of course correct to say that the full formula for energy includes momentum. However, in the context of the question, it is better to think of light as having mass. (For the purist, I did say that REST mass was zero.) If a source of strong gravitation captures light, the light might circulate, but the consequent increase in gravitational attractive power of the source combined with the light is most readily explained by adding the "mass" (i.e. the energy) of the light to that of the source.
I think the original question meant "Is the solar energy falling on the Earth each day (year?) equivalent to the energy equivalent of a ship, flea, etc.?