86077105320 has 128 divisors (see below), whose sum is σ = 269721446400. Its totient is φ = 21934497024.

The previous prime is 86077105319. The next prime is 86077105379. The reversal of 86077105320 is 2350177068.

It is a Cunningham number, because it is equal to 293389²-1.

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 31 ways as a sum of consecutive naturals, for example, 2919211 + ... + 2948549.

It is an arithmetic number, because the mean of its divisors is an integer number (2107198800).

Almost surely, 2^86077105320 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 86077105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134860723200).

86077105320 is an abundant number, since it is smaller than the sum of its proper divisors (183644341080).

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

86077105320 is a wasteful number, since it uses less digits than its factorization.

86077105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30439 (or 30435 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 86077105320 in words is "eighty-six billion, seventy-seven million, one hundred five thousand, three hundred twenty".