86500322766 has 128 divisors (see below), whose sum is σ = 227829127680. Its totient is φ = 23981529600.

The previous prime is 86500322723. The next prime is 86500322767. The reversal of 86500322766 is 66722300568.

It is a happy number.

86500322766 is a `hidden beast` number, since 86 + 500 + 3 + 2 + 2 + 7 + 66 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86500322767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823021 + ... + 922151.

It is an arithmetic number, because the mean of its divisors is an integer number (1779915060).

Almost surely, 2^86500322766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86500322766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113914563840).

86500322766 is an abundant number, since it is smaller than the sum of its proper divisors (141328804914).

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

86500322766 is a wasteful number, since it uses less digits than its factorization.

86500322766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99279 (or 99273 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 86500322766 in words is "eighty-six billion, five hundred million, three hundred twenty-two thousand, seven hundred sixty-six".