26411100100 has 576 divisors, whose sum is σ = 80634839040. Its totient is φ = 7257254400.

The previous prime is 26411100071. The next prime is 26411100109. The reversal of 26411100100 is 100111462.

It is not an unprimeable number, because it can be changed into a prime (26411100109) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 158150217 + ... + 158150383.

It is an arithmetic number, because the mean of its divisors is an integer number (139991040).

Almost surely, 2^26411100100 is an apocalyptic number.

26411100100 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 26411100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40317419520).

26411100100 is an abundant number, since it is smaller than the sum of its proper divisors (54223738940).

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

26411100100 is a wasteful number, since it uses less digits than its factorization.

26411100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 26411100100 its reverse (100111462), we get a palindrome (26511211562).

The spelling of 26411100100 in words is "twenty-six billion, four hundred eleven million, one hundred thousand, one hundred".