256723835508 has 360 divisors, whose sum is σ = 812716692480. Its totient is φ = 69140615040.

The previous prime is 256723835507. The next prime is 256723835527. The reversal of 256723835508 is 805538327652.

256723835508 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 2 + 3 + 83 + 550 + 8 = 666.

256723835508 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 not an unprimeable number, because it can be changed into a prime (256723835507) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121611373 + ... + 121613483.

It is an arithmetic number, because the mean of its divisors is an integer number (2257546368).

Almost surely, 2^256723835508 is an apocalyptic number.

256723835508 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 256723835508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406358346240).

256723835508 is an abundant number, since it is smaller than the sum of its proper divisors (555992856972).

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

256723835508 is a wasteful number, since it uses less digits than its factorization.

256723835508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 256723835508 in words is "two hundred fifty-six billion, seven hundred twenty-three million, eight hundred thirty-five thousand, five hundred eight".