85249607328 has 240 divisors, whose sum is σ = 274622843880. Its totient is φ = 25822347264.

The previous prime is 85249607297. The next prime is 85249607353. The reversal of 85249607328 is 82370694258.

85249607328 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 9 + 607 + 3 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85093557264 + 156050064 = 291708^2 + 12492^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 1244500 + ... + 1311212.

Almost surely, 2^85249607328 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 85249607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137311421940).

85249607328 is an abundant number, since it is smaller than the sum of its proper divisors (189373236552).

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

85249607328 is a wasteful number, since it uses less digits than its factorization.

85249607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66781 (or 66764 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85249607328 in words is "eighty-five billion, two hundred forty-nine million, six hundred seven thousand, three hundred twenty-eight".