268506605862 has 128 divisors (see below), whose sum is σ = 673737523200. Its totient is φ = 78517152000.

The previous prime is 268506605797. The next prime is 268506605897.

268506605862 is a `hidden beast` number, since 2 + 6 + 8 + 50 + 6 + 6 + 0 + 586 + 2 = 666.

268506605862 is nontrivially palindromic in base 10.

268506605862 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 268506605799 and 268506605808.

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 63 ways as a sum of consecutive naturals, for example, 46283362 + ... + 46289162.

It is an arithmetic number, because the mean of its divisors is an integer number (5263574400).

Almost surely, 2^268506605862 is an apocalyptic number.

268506605862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268506605862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336868761600).

268506605862 is an abundant number, since it is smaller than the sum of its proper divisors (405230917338).

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

268506605862 is a wasteful number, since it uses less digits than its factorization.

268506605862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 268506605862 in words is "two hundred sixty-eight billion, five hundred six million, six hundred five thousand, eight hundred sixty-two".