85509319456 has 192 divisors, whose sum is σ = 201347887104. Its totient is φ = 35300966400.

The previous prime is 85509319453. The next prime is 85509319457. The reversal of 85509319456 is 65491390558.

It is a junction number, because it is equal to n+sod(n) for n = 85509319397 and 85509319406.

It is not an unprimeable number, because it can be changed into a prime (85509319453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28117296 + ... + 28120336.

It is an arithmetic number, because the mean of its divisors is an integer number (1048686912).

Almost surely, 2^85509319456 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 85509319456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673943552).

85509319456 is an abundant number, since it is smaller than the sum of its proper divisors (115838567648).

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

85509319456 is a wasteful number, since it uses less digits than its factorization.

85509319456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 85509319456 in words is "eighty-five billion, five hundred nine million, three hundred nineteen thousand, four hundred fifty-six".