256528548864 has 528 divisors, whose sum is σ = 894415721472. Its totient is φ = 69229264896.

The previous prime is 256528548827. The next prime is 256528548889. The reversal of 256528548864 is 468845825652.

It is a happy number.

256528548864 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 2 + 8 + 548 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123152367 + ... + 123154449.

Almost surely, 2^256528548864 is an apocalyptic number.

256528548864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256528548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447207860736).

256528548864 is an abundant number, since it is smaller than the sum of its proper divisors (637887172608).

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

256528548864 is a wasteful number, since it uses less digits than its factorization.

256528548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2201 counting only the distinct ones).

The product of its digits is 147456000, while the sum is 63.

The spelling of 256528548864 in words is "two hundred fifty-six billion, five hundred twenty-eight million, five hundred forty-eight thousand, eight hundred sixty-four".