86308616064 has 128 divisors (see below), whose sum is σ = 250222613760. Its totient is φ = 26141184000.

The previous prime is 86308616047. The next prime is 86308616071. The reversal of 86308616064 is 46061680368.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11785524 + ... + 11792844.

It is an arithmetic number, because the mean of its divisors is an integer number (1954864170).

Almost surely, 2^86308616064 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 86308616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125111306880).

86308616064 is an abundant number, since it is smaller than the sum of its proper divisors (163913997696).

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

86308616064 is a wasteful number, since it uses less digits than its factorization.

86308616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 86308616064 in words is "eighty-six billion, three hundred eight million, six hundred sixteen thousand, sixty-four".