85600273248 has 216 divisors, whose sum is σ = 287813766240. Its totient is φ = 24056040960.

The previous prime is 85600273237. The next prime is 85600273261. The reversal of 85600273248 is 84237200658.

85600273248 is a `hidden beast` number, since 8 + 5 + 600 + 2 + 7 + 32 + 4 + 8 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 811113 + ... + 910551.

It is an arithmetic number, because the mean of its divisors is an integer number (1332471140).

Almost surely, 2^85600273248 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 85600273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143906883120).

85600273248 is an abundant number, since it is smaller than the sum of its proper divisors (202213492992).

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

85600273248 is a wasteful number, since it uses less digits than its factorization.

85600273248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99530 (or 99512 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 85600273248 in words is "eighty-five billion, six hundred million, two hundred seventy-three thousand, two hundred forty-eight".