256570691328 has 432 divisors, whose sum is σ = 857378529280. Its totient is φ = 72278728704.

The previous prime is 256570691317. The next prime is 256570691329. The reversal of 256570691328 is 823196075652.

256570691328 is a `hidden beast` number, since 2 + 5 + 6 + 570 + 69 + 1 + 3 + 2 + 8 = 666.

256570691328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256570691329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 469050351 + ... + 469050897.

Almost surely, 2^256570691328 is an apocalyptic number.

256570691328 is a gapful number since it is divisible by the number (28) 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 256570691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428689264640).

256570691328 is an abundant number, since it is smaller than the sum of its proper divisors (600807837952).

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

256570691328 is a wasteful number, since it uses less digits than its factorization.

256570691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 256570691328 in words is "two hundred fifty-six billion, five hundred seventy million, six hundred ninety-one thousand, three hundred twenty-eight".