  We focus on the study of the exact solution corresponding to charged AdS
black holes surrounded by quintessence with a cloud of strings present in
higher dimensional spacetime. We then investigate its corresponding
thermodynamic criticality in the extended phase space and show that the
spacetime dimension has no effect on the existence of small/large phase
transition for such black holes. The heat capacity is evaluated and the
geothermodynamics of Quevedo analyzed for different spacetime dimensions with
the cloud of strings and quintessence parameters. We calculate the critical
exponents describing the behavior of relevant thermodynamic quantities near the
critical point. Finally, we also discuss the uncharged case, show how it is
sensitive to the quintessence and strings cloud parameters, and when the
thermodynamic behavior of the uncharged black holes is similar to Van der Waals
fluid.
