  In the mixed dark matter scenarios consisting of primordial black holes
(PBHs) and weakly interacting massive particles (WIMPs), WIMPs can be accreted
onto PBHs to form ultracompact minihalos (UCMHs) with a density spike in the
early universe. Compared with the classical dark matter halo, UCMHs are formed
earlier and have a higher density of center. Since the annihilation rate is
proportional to the squared number density of WIMPs, it is expected that WIMPs
annihilation within UCMHs is enhanced and has influences on the early universe.
Between the time of recombination and matter-radiation equality, the energy
released from WIMPs annihilation within UCMHs is injected into the Universe
resulting in CMB $y$-type distortion. We investigate these effects and derive
the upper limits on the abundance of PBHs taking advantage of the observational
results of Far Infrared Absolute Spectrophotometer (FIRAS). We find that for
the WIMPs mass range $1\le m_{\chi}\le 1000~\rm GeV$, the upper limits on the
abundance of PBHs are $5\times 10^{-3}\le \Omega_{\rm PBH}\le 5\times 10^{-2}$.
