268026014256 has 320 divisors, whose sum is σ = 931266395136. Its totient is φ = 64150732800.

The previous prime is 268026014233. The next prime is 268026014297. The reversal of 268026014256 is 652410620862.

It is a happy number.

268026014256 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 (42).

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, 29641096 + ... + 29650136.

Almost surely, 2^268026014256 is an apocalyptic number.

268026014256 is a gapful number since it is divisible by the number (26) 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 268026014256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465633197568).

268026014256 is an abundant number, since it is smaller than the sum of its proper divisors (663240380880).

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

268026014256 is a wasteful number, since it uses less digits than its factorization.

268026014256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 268026014256 in words is "two hundred sixty-eight billion, twenty-six million, fourteen thousand, two hundred fifty-six".