86305050368 has 72 divisors (see below), whose sum is σ = 183636230400. Its totient is φ = 40363674624.

The previous prime is 86305050361. The next prime is 86305050401.

86305050368 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86305050361) 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 7 ways as a sum of consecutive naturals, for example, 271955 + ... + 496557.

It is an arithmetic number, because the mean of its divisors is an integer number (2550503200).

Almost surely, 2^86305050368 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 86305050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91818115200).

86305050368 is an abundant number, since it is smaller than the sum of its proper divisors (97331180032).

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

86305050368 is a wasteful number, since it uses less digits than its factorization.

86305050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224717 (or 224703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 86305050368 in words is "eighty-six billion, three hundred five million, fifty thousand, three hundred sixty-eight".