Tomorrow (or rather, after a short nap, actually already today :) at the National Supercomputer Forum (http://2020.nscf.ru), traditionally held in November and unconventionally - in an online format, starts our section "Grid from workstations and combined grids", where present my report "On the number of cyclic and pandiagonal Latin and diagonal Latin squares of a given order N and their properties". It will briefly talk about the latest investigations in terms of studying the properties of cyclic and pandiagonal LS/DLS, restrictions on the number of transversals in LS/DLS, the calculation of the Euler totient function using Latin squares and the planned experiments in the Gerasim@Home project. Below are the slides of my presentation