11126505111040 has 960 divisors, whose sum is σ = 31981140576000. Its totient is φ = 3670946611200.

The previous prime is 11126505111013. The next prime is 11126505111083. The reversal of 11126505111040 is 4011150562111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80046799291 + ... + 80046799429.

It is an arithmetic number, because the mean of its divisors is an integer number (33313688100).

Almost surely, 2^{11126505111040} is an apocalyptic number.

11126505111040 is a gapful number since it is divisible by the number (10) 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 11126505111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990570288000).

11126505111040 is an abundant number, since it is smaller than the sum of its proper divisors (20854635464960).

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

11126505111040 is a wasteful number, since it uses less digits than its factorization.

11126505111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 28.

Adding to 11126505111040 its reverse (4011150562111), we get a palindrome (15137655673151).

The spelling of 11126505111040 in words is "eleven trillion, one hundred twenty-six billion, five hundred five million, one hundred eleven thousand, forty".