85704624128 has 36 divisors (see below), whose sum is σ = 171393894945. Its totient is φ = 42845687808.

The previous prime is 85704624121. The next prime is 85704624133. The reversal of 85704624128 is 82142640758.

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 2 ways, for example, as 61805937664 + 23898686464 = 248608^2 + 154592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=207008.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85704624121) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13245278 + ... + 13251746.

Almost surely, 2^85704624128 is an apocalyptic number.

It is an amenable number.

85704624128 is a deficient number, since it is larger than the sum of its proper divisors (85689270817).

85704624128 is an frugal number, since it uses more digits than its factorization.

85704624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 85704624128 in words is "eighty-five billion, seven hundred four million, six hundred twenty-four thousand, one hundred twenty-eight".