  We study the behavior of a quantum dipolar Bose condensate with the
Lee-Huang-Yang quantum corrections at zero temperature in the presence of weak
disorder potential. We solve the underlying nonlocal Gross-Pitaevskii equation
using a perturbative theory. The role of both the Lee-Huang-Yang term and the
disorder potential on the condensed fraction, the equation of state, the
compressibility and the superfluid density is deeply analyzed. Surprisingly, we
find that the Lee-Huang-Yang quantum corrections not only arrest the dipolar
implosion but also lead to reduce the condensate fluctuations due to the
disorder effects prohibiting the formation of a Bose glass state. We show that
the superfluid density exhibits unconventional behavior.
