26794006800 has 240 divisors, whose sum is σ = 96654766080. Its totient is φ = 6285888000.

The previous prime is 26794006787. The next prime is 26794006807. The reversal of 26794006800 is 860049762.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (26794006807) 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 47 ways as a sum of consecutive naturals, for example, 376461 + ... + 441939.

It is an arithmetic number, because the mean of its divisors is an integer number (402728192).

Almost surely, 2^26794006800 is an apocalyptic number.

26794006800 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 26794006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48327383040).

26794006800 is an abundant number, since it is smaller than the sum of its proper divisors (69860759280).

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

26794006800 is a wasteful number, since it uses less digits than its factorization.

26794006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65542 (or 65531 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 26794006800 in words is "twenty-six billion, seven hundred ninety-four million, six thousand, eight hundred".