26671726400256 has 3456 divisors, whose sum is σ = 107266399027200. Its totient is φ = 6474568826880.

The previous prime is 26671726400237. The next prime is 26671726400299. The reversal of 26671726400256 is 65200462717662.

26671726400256 is a `hidden beast` number, since 2 + 6 + 67 + 172 + 6 + 400 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×26671726400256² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 299682319060 + ... + 299682319148.

It is an arithmetic number, because the mean of its divisors is an integer number (31037731200).

Almost surely, 2^{26671726400256} 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 26671726400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53633199513600).

26671726400256 is an abundant number, since it is smaller than the sum of its proper divisors (80594672626944).

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

26671726400256 is a wasteful number, since it uses less digits than its factorization.

26671726400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 26671726400256 in words is "twenty-six trillion, six hundred seventy-one billion, seven hundred twenty-six million, four hundred thousand, two hundred fifty-six".