26268830434560 has 864 divisors, whose sum is σ = 102022800832512. Its totient is φ = 5641696051200.

The previous prime is 26268830434513. The next prime is 26268830434591. The reversal of 26268830434560 is 6543403886262.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26268830434560.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5305760085 + ... + 5305765035.

It is an arithmetic number, because the mean of its divisors is an integer number (118081945408).

Almost surely, 2^{26268830434560} is an apocalyptic number.

26268830434560 is a gapful number since it is divisible by the number (20) 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 26268830434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51011400416256).

26268830434560 is an abundant number, since it is smaller than the sum of its proper divisors (75753970397952).

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

26268830434560 is a wasteful number, since it uses less digits than its factorization.

26268830434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 26268830434560 in words is "twenty-six trillion, two hundred sixty-eight billion, eight hundred thirty million, four hundred thirty-four thousand, five hundred sixty".