26266006368 has 432 divisors, whose sum is σ = 90859152384. Its totient is φ = 7043189760.

The previous prime is 26266006367. The next prime is 26266006373. The reversal of 26266006368 is 86360066262.

26266006368 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 6 + 0 + 0 + 636 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26266006367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85556871 + ... + 85557177.

It is an arithmetic number, because the mean of its divisors is an integer number (210322112).

Almost surely, 2^26266006368 is an apocalyptic number.

26266006368 is a gapful number since it is divisible by the number (28) 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 26266006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45429576192).

26266006368 is an abundant number, since it is smaller than the sum of its proper divisors (64593146016).

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

26266006368 is a wasteful number, since it uses less digits than its factorization.

26266006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26266006368 in words is "twenty-six billion, two hundred sixty-six million, six thousand, three hundred sixty-eight".