11053633536126 has 192 divisors, whose sum is σ = 25481723904000. Its totient is φ = 3457652486400.

The previous prime is 11053633536067. The next prime is 11053633536163. The reversal of 11053633536126 is 62163533635011.

11053633536126 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 633 + 5 + 3 + 6 + 1 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1645127395 + ... + 1645134113.

It is an arithmetic number, because the mean of its divisors is an integer number (132717312000).

Almost surely, 2^{11053633536126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053633536126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740861952000).

11053633536126 is an abundant number, since it is smaller than the sum of its proper divisors (14428090367874).

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

11053633536126 is a wasteful number, since it uses less digits than its factorization.

11053633536126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 11053633536126 in words is "eleven trillion, fifty-three billion, six hundred thirty-three million, five hundred thirty-six thousand, one hundred twenty-six".