26444000100 has 288 divisors, whose sum is σ = 90130231296. Its totient is φ = 5860915200.

The previous prime is 26444000087. The next prime is 26444000111. The reversal of 26444000100 is 100044462.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 11151915 + ... + 11154285.

It is an arithmetic number, because the mean of its divisors is an integer number (312952192).

Almost surely, 2^26444000100 is an apocalyptic number.

26444000100 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 26444000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45065115648).

26444000100 is an abundant number, since it is smaller than the sum of its proper divisors (63686231196).

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

26444000100 is a wasteful number, since it uses less digits than its factorization.

26444000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 26444000100 its reverse (100044462), we get a palindrome (26544044562).

The spelling of 26444000100 in words is "twenty-six billion, four hundred forty-four million, one hundred", and thus it is an aban number.