11000280666624 has 240 divisors, whose sum is σ = 29970096666048. Its totient is φ = 3584155680768.

The previous prime is 11000280666619. The next prime is 11000280666629. The reversal of 11000280666624 is 42666608200011.

It is an interprime number because it is at equal distance from previous prime (11000280666619) and next prime (11000280666629).

It is not an unprimeable number, because it can be changed into a prime (11000280666629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17001979069 + ... + 17001979715.

Almost surely, 2^{11000280666624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000280666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985048333024).

11000280666624 is an abundant number, since it is smaller than the sum of its proper divisors (18969815999424).

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

11000280666624 is an frugal number, since it uses more digits than its factorization.

11000280666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

Adding to 11000280666624 its reverse (42666608200011), we get a palindrome (53666888866635).

The spelling of 11000280666624 in words is "eleven trillion, two hundred eighty million, six hundred sixty-six thousand, six hundred twenty-four".