11021016006 has 640 divisors, whose sum is σ = 36102528000. Its totient is φ = 2469035520.

The previous prime is 11021015959. The next prime is 11021016023. The reversal of 11021016006 is 60061012011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11021016006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 150972786 + ... + 150972858.

It is an arithmetic number, because the mean of its divisors is an integer number (56410200).

Almost surely, 2^11021016006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021016006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051264000).

11021016006 is an abundant number, since it is smaller than the sum of its proper divisors (25081511994).

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

11021016006 is a wasteful number, since it uses less digits than its factorization.

11021016006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11021016006 its reverse (60061012011), we get a palindrome (71082028017).

The spelling of 11021016006 in words is "eleven billion, twenty-one million, sixteen thousand, six".