85011061873200 has 240 divisors, whose sum is σ = 276031575705600. Its totient is φ = 22361090918400.

The previous prime is 85011061873187. The next prime is 85011061873249. The reversal of 85011061873200 is 237816011058.

It is a tau number, because it is divible by the number of its divisors (240).

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, 98065660 + ... + 98928740.

It is an arithmetic number, because the mean of its divisors is an integer number (1150131565440).

Almost surely, 2^{85011061873200} is an apocalyptic number.

85011061873200 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 85011061873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015787852800).

85011061873200 is an abundant number, since it is smaller than the sum of its proper divisors (191020513832400).

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

85011061873200 is a wasteful number, since it uses less digits than its factorization.

85011061873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864220 (or 864209 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

Adding to 85011061873200 its reverse (237816011058), we get a palindrome (85248877884258).

The spelling of 85011061873200 in words is "eighty-five trillion, eleven billion, sixty-one million, eight hundred seventy-three thousand, two hundred".