86916518987130 has 96 divisors (see below), whose sum is σ = 258297666307200. Its totient is φ = 19864214568576.

The previous prime is 86916518987117. The next prime is 86916518987143. The reversal of 86916518987130 is 3178981561968.

86916518987130 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 6 + 518 + 9 + 8 + 71 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (86916518987117) and next prime (86916518987143).

It is a super-2 number, since 2×86916518987130² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214945 + ... + 13570884.

It is an arithmetic number, because the mean of its divisors is an integer number (2690600690700).

Almost surely, 2^{86916518987130} is an apocalyptic number.

86916518987130 is an abundant number, since it is smaller than the sum of its proper divisors (171381147320070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86916518987130 is a wasteful number, since it uses less digits than its factorization.

86916518987130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16794068 (or 16794065 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 86916518987130 in words is "eighty-six trillion, nine hundred sixteen billion, five hundred eighteen million, nine hundred eighty-seven thousand, one hundred thirty".