86586429307 has 16 divisors (see below), whose sum is σ = 104822880192. Its totient is φ = 69820554240.

The previous prime is 86586429287. The next prime is 86586429337. The reversal of 86586429307 is 70392468568.

It is a cyclic number.

It is not a de Polignac number, because 86586429307 - 2¹⁵ = 86586396539 is a prime.

It is a super-2 number, since 2×86586429307² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86586429337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114207 + ... + 431527.

It is an arithmetic number, because the mean of its divisors is an integer number (6551430012).

Almost surely, 2^86586429307 is an apocalyptic number.

86586429307 is a deficient number, since it is larger than the sum of its proper divisors (18236450885).

86586429307 is a wasteful number, since it uses less digits than its factorization.

86586429307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319638.

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 86586429307 in words is "eighty-six billion, five hundred eighty-six million, four hundred twenty-nine thousand, three hundred seven".