It is named after the former vice president Enrique Baldivieso.

Its seat is San Agustín with a population of 533 during the census of 2001[2] situated on the bank of the Turuncha River in San Agustín Canton.

In the east, north, west and south it is almost completely encircled by the Nor Lípez Province, only in the southeast it is bordered by the Sur Lípez Province for 20 km.

The province is subdivided into four cantons: The main language is Quechua, spoken by 96%, while 86% of the population speak Spanish.

72% of the population are employed in agriculture, 28% in general services.