What you're actually looking at in photoshop's resolution input box is technically PPI (pixels/inch). Same as with screens resolutions because they're measuring the same thing.
DPI is used as a general term, which can be confusing, as it can either mean the same thing as PPI (commonly) or the dots/inch the printer uses to mix colours (which is obviously much higher, as each printed pixel needs to display a solid-looking colour made up of dots of 4 or so component colours). Still most people saying DPI usually mean PPI (myself included) I've just tried to explain the ambiguity for clarification.
You probably don't want to get into it, but LPI is used for how many lines of a halftone (ink mixing) pattern per inch. If your printer lets you change the halftone LPI, you could experiment to lower it for stuff meant to be viewed from further away, to hide the pixelation.
55inches is quite large so 72ppi is probably enough, though up close you will see the pixels, so I would probably simply resize: with resample selected, and only change the resolution to 300ppi, so the bicubic filter can soften the edges of the pixels a bit. This will change the pixel size, but not the physical size which is already what you want.