268683935520 has 1536 divisors, whose sum is σ = 1216740704256. Its totient is φ = 48011673600.

The previous prime is 268683935483. The next prime is 268683935557. The reversal of 268683935520 is 25539386862.

It is an interprime number because it is at equal distance from previous prime (268683935483) and next prime (268683935557).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 453092344 + ... + 453092936.

It is an arithmetic number, because the mean of its divisors is an integer number (792148896).

Almost surely, 2^268683935520 is an apocalyptic number.

268683935520 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 268683935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608370352128).

268683935520 is an abundant number, since it is smaller than the sum of its proper divisors (948056768736).

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

268683935520 is a wasteful number, since it uses less digits than its factorization.

268683935520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 268683935520 in words is "two hundred sixty-eight billion, six hundred eighty-three million, nine hundred thirty-five thousand, five hundred twenty".