85081928448 has 144 divisors (see below), whose sum is σ = 247183372800. Its totient is φ = 25766154240.

The previous prime is 85081928441. The next prime is 85081928473. The reversal of 85081928448 is 84482918058.

It is not an unprimeable number, because it can be changed into a prime (85081928441) 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 15 ways as a sum of consecutive naturals, for example, 26347698 + ... + 26350926.

It is an arithmetic number, because the mean of its divisors is an integer number (1716551200).

Almost surely, 2^85081928448 is an apocalyptic number.

85081928448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85081928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123591686400).

85081928448 is an abundant number, since it is smaller than the sum of its proper divisors (162101444352).

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

85081928448 is a wasteful number, since it uses less digits than its factorization.

85081928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 85081928448 in words is "eighty-five billion, eighty-one million, nine hundred twenty-eight thousand, four hundred forty-eight".