256253047128 has 192 divisors, whose sum is σ = 753382244160. Its totient is φ = 78218477568.

The previous prime is 256253047111. The next prime is 256253047129. The reversal of 256253047128 is 821740352652.

256253047128 is a `hidden beast` number, since 2 + 5 + 62 + 530 + 47 + 12 + 8 = 666.

256253047128 is digitally balanced in base 3, 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 (256253047129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96443176 + ... + 96445832.

It is an arithmetic number, because the mean of its divisors is an integer number (3923865855).

Almost surely, 2^256253047128 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 256253047128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376691122080).

256253047128 is an abundant number, since it is smaller than the sum of its proper divisors (497129197032).

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

256253047128 is a wasteful number, since it uses less digits than its factorization.

256253047128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 256253047128 in words is "two hundred fifty-six billion, two hundred fifty-three million, forty-seven thousand, one hundred twenty-eight".