26668213214256 has 240 divisors, whose sum is σ = 82871828676000. Its totient is φ = 8272490840064.

The previous prime is 26668213214231. The next prime is 26668213214281. The reversal of 26668213214256 is 65241231286662.

It is an interprime number because it is at equal distance from previous prime (26668213214231) and next prime (26668213214281).

It is a super-2 number, since 2×26668213214256² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615820 + ... + 8149268.

It is an arithmetic number, because the mean of its divisors is an integer number (345299286150).

Almost surely, 2^{26668213214256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26668213214256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41435914338000).

26668213214256 is an abundant number, since it is smaller than the sum of its proper divisors (56203615461744).

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

26668213214256 is a wasteful number, since it uses less digits than its factorization.

26668213214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533578 (or 4533560 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 26668213214256 in words is "twenty-six trillion, six hundred sixty-eight billion, two hundred thirteen million, two hundred fourteen thousand, two hundred fifty-six".