  We find hydrodynamic behavior in large simply spinning five-dimensional
Anti-de Sitter black holes. These are dual to spinning quantum fluids through
the AdS/CFT correspondence constructed from string theory. Due to the spatial
anisotropy introduced by the angular momentum in the system, hydrodynamic
transport coefficients split into one group longitudinal and another transverse
to the angular momentum. Analytic expressions are provided for the two shear
viscosities, the longitudinal momentum diffusion coefficient, two speeds of
sound, and two sound attenuation coefficients. Known relations between these
coefficients are generalized to include dependence on angular momentum. The
shear viscosity to entropy density ratio varies between zero and 1/(4$\pi$)
depending on the direction of the shear. These results can be applied to heavy
ion collisions, in which the most vortical fluid was reported recently. In
passing, we show that large simply spinning five-dimensional Myers-Perry black
holes are perturbatively stable for all angular momenta below extremality.
