26780882304 has 128 divisors (see below), whose sum is σ = 77676802560. Its totient is φ = 8107776000.

The previous prime is 26780882279. The next prime is 26780882309. The reversal of 26780882304 is 40328808762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26780882309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5831049 + ... + 5835639.

It is an arithmetic number, because the mean of its divisors is an integer number (606850020).

Almost surely, 2^26780882304 is an apocalyptic number.

26780882304 is a gapful number since it is divisible by the number (24) 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 26780882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38838401280).

26780882304 is an abundant number, since it is smaller than the sum of its proper divisors (50895920256).

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

26780882304 is a wasteful number, since it uses less digits than its factorization.

26780882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 26780882304 in words is "twenty-six billion, seven hundred eighty million, eight hundred eighty-two thousand, three hundred four".