86021224200 has 324 divisors, whose sum is σ = 299852123805. Its totient is φ = 22099478400.

The previous prime is 86021224181. The next prime is 86021224213. The reversal of 86021224200 is 242212068.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86021224200 is a `hidden beast` number, since 8 + 602 + 12 + 2 + 42 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84300799716 + 1720424484 = 290346^2 + 41478^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=207390.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 385745289 + ... + 385745511.

Almost surely, 2^86021224200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86021224200

86021224200 is an abundant number, since it is smaller than the sum of its proper divisors (213830899605).

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

86021224200 is a wasteful number, since it uses less digits than its factorization.

86021224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 86021224200 its reverse (242212068), we get a palindrome (86263436268).

The spelling of 86021224200 in words is "eighty-six billion, twenty-one million, two hundred twenty-four thousand, two hundred".