268386958715904 has 264 divisors, whose sum is σ = 886219733586720. Its totient is φ = 76634418511872.

The previous prime is 268386958715873. The next prime is 268386958715951. The reversal of 268386958715904 is 409517859683862.

268386958715904 is a `hidden beast` number, since 2 + 6 + 8 + 386 + 9 + 5 + 87 + 159 + 0 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 102768252 + ... + 105347460.

It is a 1-persistent number, because it is pandigital, but 2⋅268386958715904 = 536773917431808 is not.

Almost surely, 2^{268386958715904} is an apocalyptic number.

268386958715904 is a gapful number since it is divisible by the number (24) 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 268386958715904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443109866793360).

268386958715904 is an abundant number, since it is smaller than the sum of its proper divisors (617832774870816).

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

268386958715904 is a wasteful number, since it uses less digits than its factorization.

268386958715904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580855 (or 2580834 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 268386958715904 in words is "two hundred sixty-eight trillion, three hundred eighty-six billion, nine hundred fifty-eight million, seven hundred fifteen thousand, nine hundred four".