86606677728 has 144 divisors (see below), whose sum is σ = 251513262000. Its totient is φ = 28260495360.

The previous prime is 86606677723. The next prime is 86606677739. The reversal of 86606677728 is 82777660668.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86606677723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4084498 + ... + 4105646.

It is an arithmetic number, because the mean of its divisors is an integer number (1746619875).

Almost surely, 2^86606677728 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 86606677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125756631000).

86606677728 is an abundant number, since it is smaller than the sum of its proper divisors (164906584272).

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

86606677728 is a wasteful number, since it uses less digits than its factorization.

86606677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21465 (or 21454 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 86606677728 in words is "eighty-six billion, six hundred six million, six hundred seventy-seven thousand, seven hundred twenty-eight".