This program is at least related to what you want: https://googology.fandom.com/wiki/Hypercalc https://googology.fandom.com/wiki/Hypercalc -- and the community

This program is at least related to what you want: https://googology.fandom.com/wiki/Hypercalc https://googology.fandom.com/wiki/Hypercalc -- and the community there has devised other systems for representing huge numbers with compact notations.