85086012211200 has 6912 divisors, whose sum is σ = 439048207241280. Its totient is φ = 16052649984000.

The previous prime is 85086012211147. The next prime is 85086012211219. The reversal of 85086012211200 is 211221068058.

85086012211200 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 601 + 2 + 21 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 1394852659170 + ... + 1394852659230.

Almost surely, 2^{85086012211200} is an apocalyptic number.

85086012211200 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 85086012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219524103620640).

85086012211200 is an abundant number, since it is smaller than the sum of its proper divisors (353962195030080).

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

85086012211200 is a wasteful number, since it uses less digits than its factorization.

85086012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 85086012211200 its reverse (211221068058), we get a palindrome (85297233279258).

The spelling of 85086012211200 in words is "eighty-five trillion, eighty-six billion, twelve million, two hundred eleven thousand, two hundred".