11005734006 has 64 divisors (see below), whose sum is σ = 25958266560. Its totient is φ = 3444456960.

The previous prime is 11005733971. The next prime is 11005734007. The reversal of 11005734006 is 60043750011.

It is a super-2 number, since 2×11005734006² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005734007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372240 + ... + 400716.

It is an arithmetic number, because the mean of its divisors is an integer number (405597915).

Almost surely, 2^11005734006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005734006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979133280).

11005734006 is an abundant number, since it is smaller than the sum of its proper divisors (14952532554).

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

11005734006 is a wasteful number, since it uses less digits than its factorization.

11005734006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28926 (or 28920 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11005734006 in words is "eleven billion, five million, seven hundred thirty-four thousand, six".