26569438876764 has 384 divisors, whose sum is σ = 81958577111040. Its totient is φ = 7283654784000.

The previous prime is 26569438876759. The next prime is 26569438876801. The reversal of 26569438876764 is 46767883496562.

26569438876764 is a `hidden beast` number, since 2 + 6 + 5 + 69 + 438 + 8 + 7 + 67 + 64 = 666.

It is a super-2 number, since 2×26569438876764² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8336816379 + ... + 8336819565.

It is an arithmetic number, because the mean of its divisors is an integer number (213433794560).

Almost surely, 2^{26569438876764} 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 26569438876764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979288555520).

26569438876764 is an abundant number, since it is smaller than the sum of its proper divisors (55389138234276).

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

26569438876764 is a wasteful number, since it uses less digits than its factorization.

26569438876764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6158 counting only the distinct ones).

The product of its digits is 17557585920, while the sum is 81.

The spelling of 26569438876764 in words is "twenty-six trillion, five hundred sixty-nine billion, four hundred thirty-eight million, eight hundred seventy-six thousand, seven hundred sixty-four".