85825095840 has 144 divisors (see below), whose sum is σ = 319503483936. Its totient is φ = 20806080000.

The previous prime is 85825095803. The next prime is 85825095847. The reversal of 85825095840 is 4859052858.

It is a happy number.

85825095840 is a `hidden beast` number, since 8 + 5 + 8 + 2 + 50 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (85825095847) 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, 2693286 + ... + 2724965.

It is an arithmetic number, because the mean of its divisors is an integer number (2218774194).

Almost surely, 2^85825095840 is an apocalyptic number.

85825095840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85825095840 is an abundant number, since it is smaller than the sum of its proper divisors (233678388096).

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

85825095840 is a wasteful number, since it uses less digits than its factorization.

85825095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418283 (or 5418272 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 85825095840 in words is "eighty-five billion, eight hundred twenty-five million, ninety-five thousand, eight hundred forty".