86546210200 has 96 divisors (see below), whose sum is σ = 202156882560. Its totient is φ = 34457702400.

The previous prime is 86546210159. The next prime is 86546210207. The reversal of 86546210200 is 201264568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86546210207) 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 23 ways as a sum of consecutive naturals, for example, 69963982 + ... + 69965218.

It is an arithmetic number, because the mean of its divisors is an integer number (2105800860).

Almost surely, 2^86546210200 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 86546210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101078441280).

86546210200 is an abundant number, since it is smaller than the sum of its proper divisors (115610672360).

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

86546210200 is a wasteful number, since it uses less digits than its factorization.

86546210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 86546210200 its reverse (201264568), we get a palindrome (86747474768).

The spelling of 86546210200 in words is "eighty-six billion, five hundred forty-six million, two hundred ten thousand, two hundred".