11261305738116 has 576 divisors, whose sum is σ = 35435796480000. Its totient is φ = 3080363489280.

The previous prime is 11261305738103. The next prime is 11261305738127. The reversal of 11261305738116 is 61183750316211.

11261305738116 is a `hidden beast` number, since 1 + 1 + 2 + 61 + 3 + 0 + 573 + 8 + 1 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8049538785 + ... + 8049540183.

It is an arithmetic number, because the mean of its divisors is an integer number (61520480000).

Almost surely, 2^{11261305738116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261305738116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717898240000).

11261305738116 is an abundant number, since it is smaller than the sum of its proper divisors (24174490741884).

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

11261305738116 is a wasteful number, since it uses less digits than its factorization.

11261305738116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11261305738116 in words is "eleven trillion, two hundred sixty-one billion, three hundred five million, seven hundred thirty-eight thousand, one hundred sixteen".