86635510656 has 256 divisors, whose sum is σ = 241285651200. Its totient is φ = 27517501440.

The previous prime is 86635510609. The next prime is 86635510657. The reversal of 86635510656 is 65601553668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86635510599 and 86635510608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86635510657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165650811 + ... + 165651333.

It is an arithmetic number, because the mean of its divisors is an integer number (942522075).

Almost surely, 2^86635510656 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 86635510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120642825600).

86635510656 is an abundant number, since it is smaller than the sum of its proper divisors (154650140544).

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

86635510656 is a wasteful number, since it uses less digits than its factorization.

86635510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 86635510656 in words is "eighty-six billion, six hundred thirty-five million, five hundred ten thousand, six hundred fifty-six".