26869124420736 has 512 divisors, whose sum is σ = 81673378375680. Its totient is φ = 7768619089920.

The previous prime is 26869124420731. The next prime is 26869124420737. The reversal of 26869124420736 is 63702442196862.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26869124420736.

It is not an unprimeable number, because it can be changed into a prime (26869124420731) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 795563146 + ... + 795596918.

It is an arithmetic number, because the mean of its divisors is an integer number (159518317140).

Almost surely, 2^{26869124420736} is an apocalyptic number.

26869124420736 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 26869124420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40836689187840).

26869124420736 is an abundant number, since it is smaller than the sum of its proper divisors (54804253954944).

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

26869124420736 is a wasteful number, since it uses less digits than its factorization.

26869124420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33984 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 26869124420736 in words is "twenty-six trillion, eight hundred sixty-nine billion, one hundred twenty-four million, four hundred twenty thousand, seven hundred thirty-six".