26243569728 has 280 divisors, whose sum is σ = 83645654400. Its totient is φ = 8109683712.

The previous prime is 26243569727. The next prime is 26243569739. The reversal of 26243569728 is 82796534262.

26243569728 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 3 + 569 + 72 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26243569727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4626478 + ... + 4632146.

It is an arithmetic number, because the mean of its divisors is an integer number (298734480).

Almost surely, 2^26243569728 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 26243569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41822827200).

26243569728 is an abundant number, since it is smaller than the sum of its proper divisors (57402084672).

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

26243569728 is a wasteful number, since it uses less digits than its factorization.

26243569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5740 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 26243569728 in words is "twenty-six billion, two hundred forty-three million, five hundred sixty-nine thousand, seven hundred twenty-eight".