268788876510 has 256 divisors, whose sum is σ = 827678435328. Its totient is φ = 54232934400.

The previous prime is 268788876497. The next prime is 268788876533. The reversal of 268788876510 is 15678887862.

268788876510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 46236364 + ... + 46242176.

It is an arithmetic number, because the mean of its divisors is an integer number (3233118888).

Almost surely, 2^268788876510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268788876510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413839217664).

268788876510 is an abundant number, since it is smaller than the sum of its proper divisors (558889558818).

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

268788876510 is a wasteful number, since it uses less digits than its factorization.

268788876510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419.

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 268788876510 in words is "two hundred sixty-eight billion, seven hundred eighty-eight million, eight hundred seventy-six thousand, five hundred ten".