26827669122400 has 144 divisors (see below), whose sum is σ = 65781964684800. Its totient is φ = 10683748866560.

The previous prime is 26827669122323. The next prime is 26827669122433. The reversal of 26827669122400 is 422196672862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013920371 + ... + 1013946829.

It is an arithmetic number, because the mean of its divisors is an integer number (456819199200).

Almost surely, 2^{26827669122400} is an apocalyptic number.

26827669122400 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 26827669122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32890982342400).

26827669122400 is an abundant number, since it is smaller than the sum of its proper divisors (38954295562400).

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

26827669122400 is a wasteful number, since it uses less digits than its factorization.

26827669122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32021 (or 32008 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 26827669122400 in words is "twenty-six trillion, eight hundred twenty-seven billion, six hundred sixty-nine million, one hundred twenty-two thousand, four hundred".