85067441166800 has 60 divisors (see below), whose sum is σ = 205503668613516. Its totient is φ = 33838982092800.

The previous prime is 85067441166793. The next prime is 85067441166817. The reversal of 85067441166800 is 866114476058.

85067441166800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33257043339664 + 51810397827136 = 5766892^2 + 7197944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587409929 + ... + 587554728.

Almost surely, 2^{85067441166800} is an apocalyptic number.

85067441166800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85067441166800 is an abundant number, since it is smaller than the sum of its proper divisors (120436227446716).

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

85067441166800 is a wasteful number, since it uses less digits than its factorization.

85067441166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174964856 (or 1174964845 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 85067441166800 in words is "eighty-five trillion, sixty-seven billion, four hundred forty-one million, one hundred sixty-six thousand, eight hundred".