26127441744 has 80 divisors (see below), whose sum is σ = 70471680000. Its totient is φ = 8325618048.

The previous prime is 26127441733. The next prime is 26127441751. The reversal of 26127441744 is 44714472162.

It is a happy number.

It is a super-2 number, since 2×26127441744² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26127441696 and 26127441705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200977 + ... + 2212815.

It is an arithmetic number, because the mean of its divisors is an integer number (880896000).

Almost surely, 2^26127441744 is an apocalyptic number.

26127441744 is a gapful number since it is divisible by the number (24) 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 26127441744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35235840000).

26127441744 is an abundant number, since it is smaller than the sum of its proper divisors (44344238256).

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

26127441744 is a wasteful number, since it uses less digits than its factorization.

26127441744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13866 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The spelling of 26127441744 in words is "twenty-six billion, one hundred twenty-seven million, four hundred forty-one thousand, seven hundred forty-four".