11327092055136 has 2016 divisors, whose sum is σ = 42460993411200. Its totient is φ = 2938118676480.

The previous prime is 11327092055023. The next prime is 11327092055159. The reversal of 11327092055136 is 63155029072311.

11327092055136 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 7 + 0 + 92 + 0 + 551 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11327092055091 and 11327092055100.

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 335 ways as a sum of consecutive naturals, for example, 48614128876 + ... + 48614129108.

It is an arithmetic number, because the mean of its divisors is an integer number (21062000700).

Almost surely, 2^{11327092055136} is an apocalyptic number.

11327092055136 is a gapful number since it is divisible by the number (16) 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 11327092055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230496705600).

11327092055136 is an abundant number, since it is smaller than the sum of its proper divisors (31133901356064).

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

11327092055136 is a wasteful number, since it uses less digits than its factorization.

11327092055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 11327092055136 in words is "eleven trillion, three hundred twenty-seven billion, ninety-two million, fifty-five thousand, one hundred thirty-six".