255756647268 has 144 divisors (see below), whose sum is σ = 712101644800. Its totient is φ = 77088775680.

The previous prime is 255756647243. The next prime is 255756647269. The reversal of 255756647268 is 862746657552.

255756647268 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 566 + 4 + 7 + 2 + 68 = 666.

255756647268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255756647268² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255756647269) 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, 1465278 + ... + 1630506.

Almost surely, 2^255756647268 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 255756647268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356050822400).

255756647268 is an abundant number, since it is smaller than the sum of its proper divisors (456344997532).

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

255756647268 is a wasteful number, since it uses less digits than its factorization.

255756647268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165362 (or 165357 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 255756647268 in words is "two hundred fifty-five billion, seven hundred fifty-six million, six hundred forty-seven thousand, two hundred sixty-eight".