11726126104 has 192 divisors, whose sum is σ = 29253312000. Its totient is φ = 4351576320.

The previous prime is 11726126053. The next prime is 11726126131. The reversal of 11726126104 is 40162162711.

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 47 ways as a sum of consecutive naturals, for example, 9878199 + ... + 9879385.

It is an arithmetic number, because the mean of its divisors is an integer number (152361000).

Almost surely, 2^11726126104 is an apocalyptic number.

11726126104 is a gapful number since it is divisible by the number (14) 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 11726126104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626656000).

11726126104 is an abundant number, since it is smaller than the sum of its proper divisors (17527185896).

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

11726126104 is a wasteful number, since it uses less digits than its factorization.

11726126104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 11726126104 its reverse (40162162711), we get a palindrome (51888288815).

The spelling of 11726126104 in words is "eleven billion, seven hundred twenty-six million, one hundred twenty-six thousand, one hundred four".