255682896768 has 192 divisors, whose sum is σ = 793145414880. Its totient is φ = 78592757760.

The previous prime is 255682896761. The next prime is 255682896787. The reversal of 255682896768 is 867698286552.

255682896768 is a `hidden beast` number, since 2 + 556 + 8 + 2 + 8 + 9 + 6 + 7 + 68 = 666.

255682896768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 255682896696 and 255682896705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255682896761) 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 23 ways as a sum of consecutive naturals, for example, 15911458 + ... + 15927518.

Almost surely, 2^255682896768 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 255682896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396572707440).

255682896768 is an abundant number, since it is smaller than the sum of its proper divisors (537462518112).

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

255682896768 is a wasteful number, since it uses less digits than its factorization.

255682896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17142 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 255682896768 in words is "two hundred fifty-five billion, six hundred eighty-two million, eight hundred ninety-six thousand, seven hundred sixty-eight".