85122680832 has 324 divisors, whose sum is σ = 286923288015. Its totient is φ = 24241545216.

The previous prime is 85122680809. The next prime is 85122680897. The reversal of 85122680832 is 23808622158.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85122680832 is a `hidden beast` number, since 8 + 512 + 26 + 80 + 8 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42561340416 + 42561340416 = 206304^2 + 206304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=206304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277272423 + ... + 277272729.

Almost surely, 2^85122680832 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 85122680832

85122680832 is an abundant number, since it is smaller than the sum of its proper divisors (201800607183).

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

85122680832 is an equidigital number, since it uses as much as digits as its factorization.

85122680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85122680832 in words is "eighty-five billion, one hundred twenty-two million, six hundred eighty thousand, eight hundred thirty-two".