11100592005216 has 288 divisors, whose sum is σ = 34317830348928. Its totient is φ = 3132199526400.

The previous prime is 11100592005211. The next prime is 11100592005247. The reversal of 11100592005216 is 61250029500111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100592005211) 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 47 ways as a sum of consecutive naturals, for example, 1815896176 + ... + 1815902288.

It is an arithmetic number, because the mean of its divisors is an integer number (119159133156).

Almost surely, 2^{11100592005216} is an apocalyptic number.

11100592005216 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 11100592005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158915174464).

11100592005216 is an abundant number, since it is smaller than the sum of its proper divisors (23217238343712).

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

11100592005216 is a wasteful number, since it uses less digits than its factorization.

11100592005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 11100592005216 in words is "eleven trillion, one hundred billion, five hundred ninety-two million, five thousand, two hundred sixteen".