256268759040 has 1040 divisors, whose sum is σ = 1087526278080. Its totient is φ = 56481546240.

The previous prime is 256268759023. The next prime is 256268759081. The reversal of 256268759040 is 40957862652.

256268759040 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 6 + 8 + 7 + 590 + 40 = 666.

256268759040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 336752260 + ... + 336753020.

Almost surely, 2^256268759040 is an apocalyptic number.

256268759040 is a gapful number since it is divisible by the number (20) 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 256268759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543763139040).

256268759040 is an abundant number, since it is smaller than the sum of its proper divisors (831257519040).

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

256268759040 is an equidigital number, since it uses as much as digits as its factorization.

256268759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 256268759040 in words is "two hundred fifty-six billion, two hundred sixty-eight million, seven hundred fifty-nine thousand, forty".