85509614848 has 72 divisors (see below), whose sum is σ = 206543518272. Its totient is φ = 34491260928.

The previous prime is 85509614833. The next prime is 85509614849. The reversal of 85509614848 is 84841690558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85509614792 and 85509614801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85509614849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372990 + ... + 1433917.

It is an arithmetic number, because the mean of its divisors is an integer number (2868659976).

Almost surely, 2^85509614848 is an apocalyptic number.

It is an amenable number.

85509614848 is an abundant number, since it is smaller than the sum of its proper divisors (121033903424).

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

85509614848 is a wasteful number, since it uses less digits than its factorization.

85509614848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806947 (or 2806933 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 85509614848 in words is "eighty-five billion, five hundred nine million, six hundred fourteen thousand, eight hundred forty-eight".