86220122410176 has 112 divisors (see below), whose sum is σ = 235731592381440. Its totient is φ = 27783571368960.

The previous prime is 86220122410159. The next prime is 86220122410181. The reversal of 86220122410176 is 67101422102268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2011771 + ... + 13284858.

Almost surely, 2^{86220122410176} 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 86220122410176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117865796190720).

86220122410176 is an abundant number, since it is smaller than the sum of its proper divisors (149511469971264).

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

86220122410176 is a wasteful number, since it uses less digits than its factorization.

86220122410176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15297622 (or 15297612 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 86220122410176 in words is "eighty-six trillion, two hundred twenty billion, one hundred twenty-two million, four hundred ten thousand, one hundred seventy-six".