11000011209984 has 144 divisors (see below), whose sum is σ = 32531719416000. Its totient is φ = 3666360305664.

The previous prime is 11000011209977. The next prime is 11000011210081. The reversal of 11000011209984 is 48990211000011.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90479542 + ... + 90601034.

Almost surely, 2^{11000011209984} 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 11000011209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265859708000).

11000011209984 is an abundant number, since it is smaller than the sum of its proper divisors (21531708206016).

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

11000011209984 is a wasteful number, since it uses less digits than its factorization.

11000011209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134617 (or 134597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Adding to 11000011209984 its reverse (48990211000011), we get a palindrome (59990222209995).

The spelling of 11000011209984 in words is "eleven trillion, eleven million, two hundred nine thousand, nine hundred eighty-four".