85444782080 has 288 divisors, whose sum is σ = 238551505920. Its totient is φ = 28773089280.

The previous prime is 85444782053. The next prime is 85444782097. The reversal of 85444782080 is 8028744458.

It is an unprimeable number.

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, 447354785 + ... + 447354975.

It is an arithmetic number, because the mean of its divisors is an integer number (828303840).

Almost surely, 2^85444782080 is an apocalyptic number.

85444782080 is a gapful number since it is divisible by the number (80) 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 85444782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119275752960).

85444782080 is an abundant number, since it is smaller than the sum of its proper divisors (153106723840).

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

85444782080 is an equidigital number, since it uses as much as digits as its factorization.

85444782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 50.

The spelling of 85444782080 in words is "eighty-five billion, four hundred forty-four million, seven hundred eighty-two thousand, eighty".