26788867200 has 288 divisors, whose sum is σ = 95892076800. Its totient is φ = 7121049600.

The previous prime is 26788867199. The next prime is 26788867289. The reversal of 26788867200 is 276888762.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 10337905 + ... + 10340495.

It is an arithmetic number, because the mean of its divisors is an integer number (332958600).

Almost surely, 2^26788867200 is an apocalyptic number.

26788867200 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 26788867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47946038400).

26788867200 is an abundant number, since it is smaller than the sum of its proper divisors (69103209600).

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

26788867200 is a wasteful number, since it uses less digits than its factorization.

26788867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 26788867200 in words is "twenty-six billion, seven hundred eighty-eight million, eight hundred sixty-seven thousand, two hundred".