86732910264 has 256 divisors, whose sum is σ = 291517793280. Its totient is φ = 20767518720.

The previous prime is 86732910263. The next prime is 86732910269. The reversal of 86732910264 is 46201923768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86732910263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22508562 + ... + 22512414.

It is an arithmetic number, because the mean of its divisors is an integer number (1138741380).

Almost surely, 2^86732910264 is an apocalyptic number.

86732910264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86732910264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145758896640).

86732910264 is an abundant number, since it is smaller than the sum of its proper divisors (204784883016).

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

86732910264 is a wasteful number, since it uses less digits than its factorization.

86732910264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 86732910264 in words is "eighty-six billion, seven hundred thirty-two million, nine hundred ten thousand, two hundred sixty-four".