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We consider a simple extension of the Standard Model by the addition of Nreal scalar gauge singlets $\vp$ that are candidates for Dark Matter. Bycollecting theoretical and experimental constraints we determine the space ofallowed parameters of the model. The possibility of ameliorating the littlehierarchy problem within the multi-singlet model is discussed. TheSpergel-Steinhardt solution of the Dark Matter density cusp problem isrevisited. It is shown that fitting the recent CRESST-II data for Dark Matternucleus scattering implies that the standard Higgs boson decays predominantlyinto pairs of Dark Matter scalars. It that case discovery of the Higgs boson atLHC and Tevatron is impossible. The most likely mass of the dark scalars is inthe range 15 GeV $\lsim \mvp \lsim$ 50 GeV with $BR(h \to \vp\vp)$ up to 96%.

Multi-Scalar-Singlet Extension of the Standard Model - the Case for Dark Matter and an Invisible Higgs Boson