86392326384 has 640 divisors, whose sum is σ = 325059194880. Its totient is φ = 21318598656.

The previous prime is 86392326353. The next prime is 86392326403. The reversal of 86392326384 is 48362329368.

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 a self number, because there is not a number n which added to its sum of digits gives 86392326384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171753877 + ... + 171754379.

It is an arithmetic number, because the mean of its divisors is an integer number (507904992).

Almost surely, 2^86392326384 is an apocalyptic number.

86392326384 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 86392326384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162529597440).

86392326384 is an abundant number, since it is smaller than the sum of its proper divisors (238666868496).

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

86392326384 is a wasteful number, since it uses less digits than its factorization.

86392326384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 86392326384 in words is "eighty-six billion, three hundred ninety-two million, three hundred twenty-six thousand, three hundred eighty-four".