86288207064 has 64 divisors (see below), whose sum is σ = 223334604000. Its totient is φ = 27749084160.

The previous prime is 86288207041. The next prime is 86288207123. The reversal of 86288207064 is 46070288268.

It is a junction number, because it is equal to n+sod(n) for n = 86288206998 and 86288207016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 849054 + ... + 945234.

Almost surely, 2^86288207064 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 86288207064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111667302000).

86288207064 is an abundant number, since it is smaller than the sum of its proper divisors (137046396936).

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

86288207064 is a wasteful number, since it uses less digits than its factorization.

86288207064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97508 (or 97504 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 86288207064 in words is "eighty-six billion, two hundred eighty-eight million, two hundred seven thousand, sixty-four".