86823364320 has 384 divisors, whose sum is σ = 378867041280. Its totient is φ = 18041149440.

The previous prime is 86823364289. The next prime is 86823364339. The reversal of 86823364320 is 2346332868.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202134 + ... + 463146.

It is an arithmetic number, because the mean of its divisors is an integer number (986632920).

Almost surely, 2^86823364320 is an apocalyptic number.

86823364320 is a gapful number since it is divisible by the number (80) 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 86823364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189433520640).

86823364320 is an abundant number, since it is smaller than the sum of its proper divisors (292043676960).

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

86823364320 is a wasteful number, since it uses less digits than its factorization.

86823364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261055 (or 261041 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 86823364320 in words is "eighty-six billion, eight hundred twenty-three million, three hundred sixty-four thousand, three hundred twenty".