871058910085 has 128 divisors (see below), whose sum is σ = 1356200616960. Its totient is φ = 522445676544.

The previous prime is 871058910079. The next prime is 871058910091. The reversal of 871058910085 is 580019850178.

871058910085 = T₁ + T₂ + ... + T₁₇₃₅₃.

871058910085 is a nontrivial binomial coefficient, being equal to C(17355, 3).

It is an interprime number because it is at equal distance from previous prime (871058910079) and next prime (871058910091).

It is a 7-Lehmer number, since φ(871058910085) divides (871058910085-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 871058910085 - 2¹⁹ = 871058385797 is a prime.

It is a super-2 number, since 2×871058910085² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 17353-rd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100382767 + ... + 100391443.

It is an arithmetic number, because the mean of its divisors is an integer number (10595317320).

Almost surely, 2^871058910085 is an apocalyptic number.

It is an amenable number.

871058910085 is a deficient number, since it is larger than the sum of its proper divisors (485141706875).

871058910085 is a wasteful number, since it uses less digits than its factorization.

871058910085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895.

The product of its (nonzero) digits is 806400, while the sum is 52.

The spelling of 871058910085 in words is "eight hundred seventy-one billion, fifty-eight million, nine hundred ten thousand, eighty-five".