26604117100000 has 288 divisors, whose sum is σ = 72125827964064. Its totient is φ = 9578400000000.

The previous prime is 26604117099907. The next prime is 26604117100031. The reversal of 26604117100000 is 171140662.

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 47 ways as a sum of consecutive naturals, for example, 110980270 + ... + 111219730.

It is an arithmetic number, because the mean of its divisors is an integer number (250436902653).

Almost surely, 2^{26604117100000} is an apocalyptic number.

26604117100000 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 26604117100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36062913982032).

26604117100000 is an abundant number, since it is smaller than the sum of its proper divisors (45521710864064).

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

26604117100000 is a wasteful number, since it uses less digits than its factorization.

26604117100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239608 (or 239580 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 26604117100000 its reverse (171140662), we get a palindrome (26604288240662).

The spelling of 26604117100000 in words is "twenty-six trillion, six hundred four billion, one hundred seventeen million, one hundred thousand".