26892920047200 has 576 divisors, whose sum is σ = 90444886156800. Its totient is φ = 6936433868800.

The previous prime is 26892920047199. The next prime is 26892920047277. The reversal of 26892920047200 is 274002929862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6323280274 + ... + 6323284526.

It is an arithmetic number, because the mean of its divisors is an integer number (157022371800).

Almost surely, 2^{26892920047200} is an apocalyptic number.

26892920047200 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 26892920047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45222443078400).

26892920047200 is an abundant number, since it is smaller than the sum of its proper divisors (63551966109600).

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

26892920047200 is a wasteful number, since it uses less digits than its factorization.

26892920047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 26892920047200 in words is "twenty-six trillion, eight hundred ninety-two billion, nine hundred twenty million, forty-seven thousand, two hundred".