Geodesic
Number of labeled topologies on ten points
Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 5-10

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The number of all the topologies that can be introduced on a fixed set of ten points is found. It is equal to 8,977,053,873,043. Out of these, 6,611,065,248,783 topologies satisfy the separation axiom $T_0$. 
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     author = {Z. I. Borevich and V. V. Bumagin and V. I. Rodionov},
     title = {Number of labeled topologies on ten points},
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     publisher = {mathdoc},
     volume = {86},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a0/}
}
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Z. I. Borevich; V. V. Bumagin; V. I. Rodionov. Number of labeled topologies on ten points. Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 5-10. http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a0/