85079221248 has 528 divisors, whose sum is σ = 280996439040. Its totient is φ = 22375710720.

The previous prime is 85079221219. The next prime is 85079221289. The reversal of 85079221248 is 84212297058.

It is a super-2 number, since 2×85079221248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85079221197 and 85079221206.

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 47 ways as a sum of consecutive naturals, for example, 475302823 + ... + 475303001.

Almost surely, 2^85079221248 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 85079221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140498219520).

85079221248 is an abundant number, since it is smaller than the sum of its proper divisors (195917217792).

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

85079221248 is a wasteful number, since it uses less digits than its factorization.

85079221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 85079221248 in words is "eighty-five billion, seventy-nine million, two hundred twenty-one thousand, two hundred forty-eight".