26938900800 has 1008 divisors, whose sum is σ = 116505971712. Its totient is φ = 5772902400.

The previous prime is 26938900789. The next prime is 26938900817. The reversal of 26938900800 is 800983962.

26938900800 is a `hidden beast` number, since 269 + 389 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 115617484 + ... + 115617716.

Almost surely, 2^26938900800 is an apocalyptic number.

26938900800 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 26938900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58252985856).

26938900800 is an abundant number, since it is smaller than the sum of its proper divisors (89567070912).

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

26938900800 is a wasteful number, since it uses less digits than its factorization.

26938900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 26938900800 in words is "twenty-six billion, nine hundred thirty-eight million, nine hundred thousand, eight hundred".