86138864208 has 200 divisors, whose sum is σ = 266739311520. Its totient is φ = 26755349760.

The previous prime is 86138864197. The next prime is 86138864213. The reversal of 86138864208 is 80246883168.

86138864208 is a `hidden beast` number, since 8 + 6 + 138 + 86 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1473391 + ... + 1530737.

Almost surely, 2^86138864208 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 86138864208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133369655760).

86138864208 is an abundant number, since it is smaller than the sum of its proper divisors (180600447312).

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

86138864208 is a wasteful number, since it uses less digits than its factorization.

86138864208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57447 (or 57432 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 86138864208 in words is "eighty-six billion, one hundred thirty-eight million, eight hundred sixty-four thousand, two hundred eight".