86605675634368 has 756 divisors, whose sum is σ = 215379412501680. Its totient is φ = 34453777121280.

The previous prime is 86605675634347. The next prime is 86605675634399. The reversal of 86605675634368 is 86343657650668.

86605675634368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 86605675634368.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 70468409178 + ... + 70468410406.

It is an arithmetic number, because the mean of its divisors is an integer number (284893402780).

Almost surely, 2^{86605675634368} is an apocalyptic number.

86605675634368 is a gapful number since it is divisible by the number (88) 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 86605675634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107689706250840).

86605675634368 is an abundant number, since it is smaller than the sum of its proper divisors (128773736867312).

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

86605675634368 is a wasteful number, since it uses less digits than its factorization.

86605675634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 73.

The spelling of 86605675634368 in words is "eighty-six trillion, six hundred five billion, six hundred seventy-five million, six hundred thirty-four thousand, three hundred sixty-eight".