11005561055600 has 120 divisors (see below), whose sum is σ = 26692523319168. Its totient is φ = 4360338323200.

The previous prime is 11005561055591. The next prime is 11005561055603. The reversal of 11005561055600 is 655016550011.

It is a super-2 number, since 2×11005561055600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005561055603) 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 23 ways as a sum of consecutive naturals, for example, 298340357 + ... + 298377243.

Almost surely, 2^{11005561055600} is an apocalyptic number.

11005561055600 is a gapful number since it is divisible by the number (10) 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 11005561055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346261659584).

11005561055600 is an abundant number, since it is smaller than the sum of its proper divisors (15686962263568).

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

11005561055600 is a wasteful number, since it uses less digits than its factorization.

11005561055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43983 (or 43972 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 11005561055600 in words is "eleven trillion, five billion, five hundred sixty-one million, fifty-five thousand, six hundred".