526256560896 has 864 divisors, whose sum is σ = 1708674637824. Its totient is φ = 143061811200.

The previous prime is 526256560877. The next prime is 526256560903. The reversal of 526256560896 is 698065652625.

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 95 ways as a sum of consecutive naturals, for example, 4143752385 + ... + 4143752511.

Almost surely, 2^526256560896 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 526256560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854337318912).

526256560896 is an abundant number, since it is smaller than the sum of its proper divisors (1182418076928).

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

526256560896 is a wasteful number, since it uses less digits than its factorization.

526256560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 60.

The spelling of 526256560896 in words is "five hundred twenty-six billion, two hundred fifty-six million, five hundred sixty thousand, eight hundred ninety-six".