268536360960 has 312 divisors, whose sum is σ = 1063790725920. Its totient is φ = 61379444736.

The previous prime is 268536360893. The next prime is 268536360971. The reversal of 268536360960 is 69063635862.

268536360960 is a `hidden beast` number, since 26 + 8 + 5 + 3 + 6 + 3 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×268536360960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268536360897 and 268536360906.

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 23 ways as a sum of consecutive naturals, for example, 1186176 + ... + 1394304.

It is an arithmetic number, because the mean of its divisors is an integer number (3409585660).

Almost surely, 2^268536360960 is an apocalyptic number.

268536360960 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 268536360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531895362960).

268536360960 is an abundant number, since it is smaller than the sum of its proper divisors (795254364960).

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

268536360960 is a wasteful number, since it uses less digits than its factorization.

268536360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208171 (or 208146 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 268536360960 in words is "two hundred sixty-eight billion, five hundred thirty-six million, three hundred sixty thousand, nine hundred sixty".