85656027648 has 80 divisors (see below), whose sum is σ = 228342438720. Its totient is φ = 28533313536.

The previous prime is 85656027647. The next prime is 85656027703. The reversal of 85656027648 is 84672065658.

It is not an unprimeable number, because it can be changed into a prime (85656027641) 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 7 ways as a sum of consecutive naturals, for example, 2435533 + ... + 2470451.

It is an arithmetic number, because the mean of its divisors is an integer number (2854280484).

Almost surely, 2^85656027648 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 85656027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114171219360).

85656027648 is an abundant number, since it is smaller than the sum of its proper divisors (142686411072).

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

85656027648 is a wasteful number, since it uses less digits than its factorization.

85656027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36537 (or 36521 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 85656027648 in words is "eighty-five billion, six hundred fifty-six million, twenty-seven thousand, six hundred forty-eight".