85648286976 has 432 divisors, whose sum is σ = 284322394944. Its totient is φ = 22739877888.

The previous prime is 85648286939. The next prime is 85648287017. The reversal of 85648286976 is 67968284658.

It is a self number, because there is not a number n which added to its sum of digits gives 85648286976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53097946 + ... + 53099558.

It is an arithmetic number, because the mean of its divisors is an integer number (658153692).

Almost surely, 2^85648286976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85648286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142161197472).

85648286976 is an abundant number, since it is smaller than the sum of its proper divisors (198674107968).

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

85648286976 is a wasteful number, since it uses less digits than its factorization.

85648286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1725 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 85648286976 in words is "eighty-five billion, six hundred forty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".