86339064000 has 224 divisors, whose sum is σ = 325819593216. Its totient is φ = 19734604800.

The previous prime is 86339063983. The next prime is 86339064013. The reversal of 86339064000 is 46093368.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 86339064000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88962 + ... + 424961.

Almost surely, 2^86339064000 is an apocalyptic number.

86339064000 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 86339064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162909796608).

86339064000 is an abundant number, since it is smaller than the sum of its proper divisors (239480529216).

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

86339064000 is a wasteful number, since it uses less digits than its factorization.

86339064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513960 (or 513940 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 86339064000 in words is "eighty-six billion, three hundred thirty-nine million, sixty-four thousand".