The type of software specifically designed for managing database systems is known as a Database Management System (DBMS). This software allows users to create, read, update, and delete data in a structured manner. DBMS provides functionalities such as data storage, retrieval, and manipulation, along with ensuring data integrity and security. Popular examples include MySQL, PostgreSQL, and Oracle. These systems are essential for handling large volumes of data in applications ranging from enterprise services to web applications, ensuring efficient data management and access.