86342824368 has 160 divisors (see below), whose sum is σ = 252182906880. Its totient is φ = 28279134720.

The previous prime is 86342824367. The next prime is 86342824391.

86342824368 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86342824361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8541205 + ... + 8551307.

It is an arithmetic number, because the mean of its divisors is an integer number (1576143168).

Almost surely, 2^86342824368 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 86342824368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126091453440).

86342824368 is an abundant number, since it is smaller than the sum of its proper divisors (165840082512).

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

86342824368 is a wasteful number, since it uses less digits than its factorization.

86342824368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10452 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 86342824368 in words is "eighty-six billion, three hundred forty-two million, eight hundred twenty-four thousand, three hundred sixty-eight".