85721185568 has 54 divisors (see below), whose sum is σ = 171348759099. Its totient is φ = 42213837312.

The previous prime is 85721185547. The next prime is 85721185591. The reversal of 85721185568 is 86558112758.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 15672035344 + 70049150224 = 125188^2 + 264668^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=207028.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120903998 + ... + 120904706.

Almost surely, 2^85721185568 is an apocalyptic number.

It is an amenable number.

85721185568 is a deficient number, since it is larger than the sum of its proper divisors (85627573531).

85721185568 is an frugal number, since it uses more digits than its factorization.

85721185568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 784 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 56.

The spelling of 85721185568 in words is "eighty-five billion, seven hundred twenty-one million, one hundred eighty-five thousand, five hundred sixty-eight".