86286034944 has 192 divisors, whose sum is σ = 258251011200. Its totient is φ = 28463726592.

The previous prime is 86286034937. The next prime is 86286034949. The reversal of 86286034944 is 44943068268.

86286034944 is a `hidden beast` number, since 8 + 6 + 28 + 603 + 4 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86286034949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355669 + ... + 5371755.

It is an arithmetic number, because the mean of its divisors is an integer number (1345057350).

Almost surely, 2^86286034944 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 86286034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129125505600).

86286034944 is an abundant number, since it is smaller than the sum of its proper divisors (171964976256).

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

86286034944 is a wasteful number, since it uses less digits than its factorization.

86286034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16215 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 86286034944 in words is "eighty-six billion, two hundred eighty-six million, thirty-four thousand, nine hundred forty-four".