Synonyms: Gymnocalycium achirasense (homotypic); Gymnocalycium achirasense chacrasense; Gymnocalycium achirasense echinatum; Gymnocalycium achirasense kainradliae; Gymnocalycium achirasense var. chacrasense; Gymnocalycium achirasense var. orientale; Gymnocalycium achirasense var. villamercedense; Gymnocalycium horridispinum achirasense (homotypic); Gymnocalycium horridispinum var. achirasense (homotypic); Gymnocalycium monvillei f. villamercedense; Gymnocalycium monvillei var. chacrasense; Gymnocalycium monvillei var. echinatum; Gymnocalycium monvillei var. kainradliae; Gymnocalycium monvillei var. orientale; Gymnocalycium orientale; Gymnocalycium orientale kainradliae; Gymnocalycium orientale var. vikulovii