85853688064 has 27 divisors (see below), whose sum is σ = 171381368613. Its totient is φ = 42924499968.

The previous prime is 85853688061. The next prime is 85853688077. The reversal of 85853688064 is 46088635858.

The square root of 85853688064 is 293008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21036601600 + 64817086464 = 145040^2 + 254592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85853687993 and 85853688011.

It is not an unprimeable number, because it can be changed into a prime (85853688061) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 4678972 + ... + 4697284.

Almost surely, 2^85853688064 is an apocalyptic number.

85853688064 is the 293008-th square number.

It is an amenable number.

85853688064 is a deficient number, since it is larger than the sum of its proper divisors (85527680549).

85853688064 is an frugal number, since it uses more digits than its factorization.

85853688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36642 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 61.

The spelling of 85853688064 in words is "eighty-five billion, eight hundred fifty-three million, six hundred eighty-eight thousand, sixty-four".