86082906886848 has 224 divisors, whose sum is σ = 259127580011520. Its totient is φ = 28008108979200.

The previous prime is 86082906886831. The next prime is 86082906886849. The reversal of 86082906886848 is 84868860928068.

It is not an unprimeable number, because it can be changed into a prime (86082906886849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110100498 + ... + 110879598.

Almost surely, 2^{86082906886848} 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 86082906886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129563790005760).

86082906886848 is an abundant number, since it is smaller than the sum of its proper divisors (173044673124672).

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

86082906886848 is a wasteful number, since it uses less digits than its factorization.

86082906886848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780652 (or 780636 counting only the distinct ones).

The product of its (nonzero) digits is 4076863488, while the sum is 81.

The spelling of 86082906886848 in words is "eighty-six trillion, eighty-two billion, nine hundred six million, eight hundred eighty-six thousand, eight hundred forty-eight".