86205134688 has 192 divisors, whose sum is σ = 242453836800. Its totient is φ = 26739486720.

The previous prime is 86205134683. The next prime is 86205134689. The reversal of 86205134688 is 88643150268.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86205134688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205134683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36082998 + ... + 36085386.

It is an arithmetic number, because the mean of its divisors is an integer number (1262780400).

Almost surely, 2^86205134688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86205134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121226918400).

86205134688 is an abundant number, since it is smaller than the sum of its proper divisors (156248702112).

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

86205134688 is a wasteful number, since it uses less digits than its factorization.

86205134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 86205134688 in words is "eighty-six billion, two hundred five million, one hundred thirty-four thousand, six hundred eighty-eight".