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We compute the self-energy of a static classical point-like charge (coupled with scalar or vector field), localized at the distance r>>r_g outside the horizon of higher-dimensional Schwarzschild-Tangherlini black hole. We use the perturbation theory and obtain first orders for the electrostatic energy and corresponding self-force. For the computation we apply the dimensional-regularization technique, well-known in the quantum theory, where the formal expression for self-energy diverges. In the lowest-dimensional cases the results are compared with known ones in the literature. The difference between the odd and even dimensionalities is discussed as well.