86138109873 has 24 divisors (see below), whose sum is σ = 126217378560. Its totient is φ = 56601741600.

The previous prime is 86138109857. The next prime is 86138109881. The reversal of 86138109873 is 37890183168.

86138109873 is a `hidden beast` number, since 8 + 613 + 8 + 10 + 9 + 8 + 7 + 3 = 666.

It is not a de Polignac number, because 86138109873 - 2⁴ = 86138109857 is a prime.

It is a super-2 number, since 2×86138109873² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86138109833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9763 + ... + 415176.

It is an arithmetic number, because the mean of its divisors is an integer number (5259057440).

Almost surely, 2^86138109873 is an apocalyptic number.

It is an amenable number.

86138109873 is a deficient number, since it is larger than the sum of its proper divisors (40079268687).

86138109873 is a wasteful number, since it uses less digits than its factorization.

86138109873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425269 (or 425266 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 86138109873 in words is "eighty-six billion, one hundred thirty-eight million, one hundred nine thousand, eight hundred seventy-three".