26300820768 has 192 divisors, whose sum is σ = 74477128320. Its totient is φ = 8097103872.

The previous prime is 26300820761. The next prime is 26300820809. The reversal of 26300820768 is 86702800362.

It is not an unprimeable number, because it can be changed into a prime (26300820761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30617523 + ... + 30618381.

It is an arithmetic number, because the mean of its divisors is an integer number (387901710).

Almost surely, 2^26300820768 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 26300820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37238564160).

26300820768 is an abundant number, since it is smaller than the sum of its proper divisors (48176307552).

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

26300820768 is a wasteful number, since it uses less digits than its factorization.

26300820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 26300820768 in words is "twenty-six billion, three hundred million, eight hundred twenty thousand, seven hundred sixty-eight".