86689448208 has 160 divisors (see below), whose sum is σ = 271582617600. Its totient is φ = 26256873600.

The previous prime is 86689448177. The next prime is 86689448221. The reversal of 86689448208 is 80284498668.

86689448208 is a `hidden beast` number, since 8 + 6 + 68 + 94 + 482 + 0 + 8 = 666.

It is a super-2 number, since 2×86689448208² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15959253 + ... + 15964683.

It is an arithmetic number, because the mean of its divisors is an integer number (1697391360).

Almost surely, 2^86689448208 is an apocalyptic number.

86689448208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86689448208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135791308800).

86689448208 is an abundant number, since it is smaller than the sum of its proper divisors (184893169392).

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

86689448208 is a wasteful number, since it uses less digits than its factorization.

86689448208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 86689448208 in words is "eighty-six billion, six hundred eighty-nine million, four hundred forty-eight thousand, two hundred eight".