11126004351561 has 64 divisors (see below), whose sum is σ = 18185637888000. Its totient is φ = 6666469856640.

The previous prime is 11126004351479. The next prime is 11126004351563. The reversal of 11126004351561 is 16515340062111.

11126004351561 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 6 + 0 + 0 + 43 + 51 + 561 = 666.

It is not a de Polignac number, because 11126004351561 - 2¹⁰ = 11126004350537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11126004351563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 279086116 + ... + 279125978.

It is an arithmetic number, because the mean of its divisors is an integer number (284150592000).

Almost surely, 2^{11126004351561} is an apocalyptic number.

11126004351561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11126004351561 is a deficient number, since it is larger than the sum of its proper divisors (7059633536439).

11126004351561 is a wasteful number, since it uses less digits than its factorization.

11126004351561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50531 (or 50525 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11126004351561 in words is "eleven trillion, one hundred twenty-six billion, four million, three hundred fifty-one thousand, five hundred sixty-one".