11005561055601 has 144 divisors (see below), whose sum is σ = 18704784384000. Its totient is φ = 6217204593600.

The previous prime is 11005561055591. The next prime is 11005561055603. The reversal of 11005561055601 is 10655016550011.

It is a happy number.

It is not a de Polignac number, because 11005561055601 - 2⁶ = 11005561055537 is a prime.

It is a super-2 number, since 2×11005561055601² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11005561055603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16700395810 + ... + 16700396468.

It is an arithmetic number, because the mean of its divisors is an integer number (129894336000).

Almost surely, 2^{11005561055601} is an apocalyptic number.

It is an amenable number.

11005561055601 is a deficient number, since it is larger than the sum of its proper divisors (7699223328399).

11005561055601 is a wasteful number, since it uses less digits than its factorization.

11005561055601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 11005561055601 in words is "eleven trillion, five billion, five hundred sixty-one million, fifty-five thousand, six hundred one".