26728696800 has 864 divisors, whose sum is σ = 107913405600. Its totient is φ = 6177669120.

The previous prime is 26728696793. The next prime is 26728696847. The reversal of 26728696800 is 869682762.

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 143 ways as a sum of consecutive naturals, for example, 116719086 + ... + 116719314.

It is an arithmetic number, because the mean of its divisors is an integer number (124899775).

Almost surely, 2^26728696800 is an apocalyptic number.

26728696800 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 26728696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53956702800).

26728696800 is an abundant number, since it is smaller than the sum of its proper divisors (81184708800).

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

26728696800 is a wasteful number, since it uses less digits than its factorization.

26728696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26728696800 in words is "twenty-six billion, seven hundred twenty-eight million, six hundred ninety-six thousand, eight hundred".