86779673135 has 32 divisors (see below), whose sum is σ = 111018200832. Its totient is φ = 64892620800.

The previous prime is 86779673129. The next prime is 86779673137. The reversal of 86779673135 is 53137697768.

It is not a de Polignac number, because 86779673135 - 2¹⁴ = 86779656751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86779673137) 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 31 ways as a sum of consecutive naturals, for example, 10059434 + ... + 10068056.

It is an arithmetic number, because the mean of its divisors is an integer number (3469318776).

Almost surely, 2^86779673135 is an apocalyptic number.

86779673135 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86779673135 is a deficient number, since it is larger than the sum of its proper divisors (24238527697).

86779673135 is a wasteful number, since it uses less digits than its factorization.

86779673135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443.

The product of its digits is 40007520, while the sum is 62.

The spelling of 86779673135 in words is "eighty-six billion, seven hundred seventy-nine million, six hundred seventy-three thousand, one hundred thirty-five".