86576495616 has 528 divisors, whose sum is σ = 287820318240. Its totient is φ = 24843386880.

The previous prime is 86576495581. The next prime is 86576495617. The reversal of 86576495616 is 61659467568.

86576495616 is a `hidden beast` number, since 8 + 6 + 5 + 7 + 6 + 4 + 9 + 5 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86576495617) 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 47 ways as a sum of consecutive naturals, for example, 166173436 + ... + 166173956.

Almost surely, 2^86576495616 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 86576495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143910159120).

86576495616 is an abundant number, since it is smaller than the sum of its proper divisors (201243822624).

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

86576495616 is a wasteful number, since it uses less digits than its factorization.

86576495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 86576495616 in words is "eighty-six billion, five hundred seventy-six million, four hundred ninety-five thousand, six hundred sixteen".