11006552040444 has 60 divisors (see below), whose sum is σ = 29052653694064. Its totient is φ = 3633230759616.

The previous prime is 11006552040443. The next prime is 11006552040461. The reversal of 11006552040444 is 44404025560011.

11006552040444 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 5 + 5 + 204 + 0 + 444 = 666.

It is a super-2 number, since 2×11006552040444² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11006552040399 and 11006552040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006552040443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164873617 + ... + 164940360.

Almost surely, 2^{11006552040444} is an apocalyptic number.

It is an amenable number.

11006552040444 is an abundant number, since it is smaller than the sum of its proper divisors (18046101653620).

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

11006552040444 is a wasteful number, since it uses less digits than its factorization.

11006552040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329814096 (or 329814085 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11006552040444 in words is "eleven trillion, six billion, five hundred fifty-two million, forty thousand, four hundred forty-four".