85736524864 has 63 divisors (see below), whose sum is σ = 180813943807. Its totient is φ = 40327860224.

The previous prime is 85736524843. The next prime is 85736524921. The reversal of 85736524864 is 46842563758.

The square root of 85736524864 is 292808.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3894758464 + 81841766400 = 62408^2 + 286080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85736524799 and 85736524808.

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 8 ways as a sum of consecutive naturals, for example, 39820812 + ... + 39822964.

Almost surely, 2^85736524864 is an apocalyptic number.

85736524864 is the 292808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85736524864

85736524864 is an abundant number, since it is smaller than the sum of its proper divisors (95077418943).

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

85736524864 is an frugal number, since it uses more digits than its factorization.

85736524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 2172 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 58.

The spelling of 85736524864 in words is "eighty-five billion, seven hundred thirty-six million, five hundred twenty-four thousand, eight hundred sixty-four".