11006005105000 has 160 divisors (see below), whose sum is σ = 27334251489600. Its totient is φ = 4138839936000.

The previous prime is 11006005104989. The next prime is 11006005105003. The reversal of 11006005105000 is 50150060011.

It is a super-2 number, since 2×11006005105000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006005105003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77023621 + ... + 77166379.

It is an arithmetic number, because the mean of its divisors is an integer number (170839071810).

Almost surely, 2^{11006005105000} is an apocalyptic number.

11006005105000 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 11006005105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667125744800).

11006005105000 is an abundant number, since it is smaller than the sum of its proper divisors (16328246384600).

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

11006005105000 is a wasteful number, since it uses less digits than its factorization.

11006005105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143709 (or 143690 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 11006005105000 its reverse (50150060011), we get a palindrome (11056155165011).

The spelling of 11006005105000 in words is "eleven trillion, six billion, five million, one hundred five thousand".