85512091200 has 336 divisors, whose sum is σ = 298086962880. Its totient is φ = 21420564480.

The previous prime is 85512091193. The next prime is 85512091241. The reversal of 85512091200 is 219021558.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5142099 + ... + 5158701.

It is an arithmetic number, because the mean of its divisors is an integer number (887163580).

Almost surely, 2^85512091200 is an apocalyptic number.

85512091200 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 85512091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149043481440).

85512091200 is an abundant number, since it is smaller than the sum of its proper divisors (212574871680).

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

85512091200 is a wasteful number, since it uses less digits than its factorization.

85512091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 85512091200 in words is "eighty-five billion, five hundred twelve million, ninety-one thousand, two hundred".