86664952320 has 240 divisors, whose sum is σ = 292415793120. Its totient is φ = 21893603328.

The previous prime is 86664952291. The next prime is 86664952321. The reversal of 86664952320 is 2325946668.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (86664952321) 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 23 ways as a sum of consecutive naturals, for example, 2756851 + ... + 2788109.

It is an arithmetic number, because the mean of its divisors is an integer number (1218399138).

Almost surely, 2^86664952320 is an apocalyptic number.

86664952320 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 86664952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146207896560).

86664952320 is an abundant number, since it is smaller than the sum of its proper divisors (205750840800).

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

86664952320 is a wasteful number, since it uses less digits than its factorization.

86664952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31323 (or 31288 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 86664952320 in words is "eighty-six billion, six hundred sixty-four million, nine hundred fifty-two thousand, three hundred twenty".