268853575680 has 608 divisors, whose sum is σ = 978445370880. Its totient is φ = 70023905280.

The previous prime is 268853575673. The next prime is 268853575741. The reversal of 268853575680 is 86575358862.

268853575680 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 53 + 575 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512650187 + ... + 2512650293.

Almost surely, 2^268853575680 is an apocalyptic number.

268853575680 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 268853575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489222685440).

268853575680 is an abundant number, since it is smaller than the sum of its proper divisors (709591795200).

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

268853575680 is an frugal number, since it uses more digits than its factorization.

268853575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 268853575680 in words is "two hundred sixty-eight billion, eight hundred fifty-three million, five hundred seventy-five thousand, six hundred eighty".