86066323200 has 1728 divisors, whose sum is σ = 384077084160. Its totient is φ = 18811699200.

The previous prime is 86066323141. The next prime is 86066323201. The reversal of 86066323200 is 232366068.

86066323200 is a `hidden beast` number, since 8 + 606 + 6 + 3 + 23 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86066323201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2001542379 + ... + 2001542421.

Almost surely, 2^86066323200 is an apocalyptic number.

86066323200 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 86066323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192038542080).

86066323200 is an abundant number, since it is smaller than the sum of its proper divisors (298010760960).

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

86066323200 is a wasteful number, since it uses less digits than its factorization.

86066323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 86066323200 its reverse (232366068), we get a palindrome (86298689268).

The spelling of 86066323200 in words is "eighty-six billion, sixty-six million, three hundred twenty-three thousand, two hundred".