268597557000 has 192 divisors, whose sum is σ = 908192142000. Its totient is φ = 71599795200.

The previous prime is 268597556989. The next prime is 268597557023. The reversal of 268597557000 is 755795862.

268597557000 is a `hidden beast` number, since 2 + 6 + 85 + 9 + 7 + 557 + 0 + 0 + 0 = 666.

268597557000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28189738404 + 240407818596 = 167898^2 + 490314^2 .

It is an unprimeable number.

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, 49038262 + ... + 49043738.

Almost surely, 2^268597557000 is an apocalyptic number.

268597557000 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 268597557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454096071000).

268597557000 is an abundant number, since it is smaller than the sum of its proper divisors (639594585000).

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

268597557000 is a wasteful number, since it uses less digits than its factorization.

268597557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 268597557000 in words is "two hundred sixty-eight billion, five hundred ninety-seven million, five hundred fifty-seven thousand".