11009203261056 has 512 divisors, whose sum is σ = 43626227097600. Its totient is φ = 2639568384000.

The previous prime is 11009203261051. The next prime is 11009203261099. The reversal of 11009203261056 is 65016230290011.

11009203261056 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 9 + 2 + 0 + 32 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11009203261056.

It is not an unprimeable number, because it can be changed into a prime (11009203261051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1868281 + ... + 5050631.

It is an arithmetic number, because the mean of its divisors is an integer number (85207474800).

Almost surely, 2^{11009203261056} is an apocalyptic number.

11009203261056 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 11009203261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21813113548800).

11009203261056 is an abundant number, since it is smaller than the sum of its proper divisors (32617023836544).

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

11009203261056 is a wasteful number, since it uses less digits than its factorization.

11009203261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182405 (or 3182387 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11009203261056 in words is "eleven trillion, nine billion, two hundred three million, two hundred sixty-one thousand, fifty-six".