86176667168 has 96 divisors (see below), whose sum is σ = 178361035776. Its totient is φ = 40907984128.

The previous prime is 86176667111. The next prime is 86176667183.

86176667168 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86176667168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67167455 + ... + 67168737.

It is an arithmetic number, because the mean of its divisors is an integer number (1857927456).

Almost surely, 2^86176667168 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 86176667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89180517888).

86176667168 is an abundant number, since it is smaller than the sum of its proper divisors (92184368608).

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

86176667168 is a wasteful number, since it uses less digits than its factorization.

86176667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 62.

The spelling of 86176667168 in words is "eighty-six billion, one hundred seventy-six million, six hundred sixty-seven thousand, one hundred sixty-eight".