268877052288 has 256 divisors, whose sum is σ = 861351321600. Its totient is φ = 82078230528.

The previous prime is 268877052287. The next prime is 268877052307. The reversal of 268877052288 is 882250778862.

268877052288 is a `hidden beast` number, since 26 + 8 + 8 + 7 + 7 + 0 + 522 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268877052287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5682295 + ... + 5729417.

It is an arithmetic number, because the mean of its divisors is an integer number (3364653600).

Almost surely, 2^268877052288 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 268877052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430675660800).

268877052288 is an abundant number, since it is smaller than the sum of its proper divisors (592474269312).

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

268877052288 is a wasteful number, since it uses less digits than its factorization.

268877052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47286 (or 47268 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 268877052288 in words is "two hundred sixty-eight billion, eight hundred seventy-seven million, fifty-two thousand, two hundred eighty-eight".