11007441216000 has 1920 divisors, whose sum is σ = 42959669905152. Its totient is φ = 2806824960000.

The previous prime is 11007441215957. The next prime is 11007441216019. The reversal of 11007441216000 is 61214470011.

11007441216000 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 7 + 44 + 12 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38895551859 + ... + 38895552141.

Almost surely, 2^{11007441216000} is an apocalyptic number.

11007441216000 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 11007441216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21479834952576).

11007441216000 is an abundant number, since it is smaller than the sum of its proper divisors (31952228689152).

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

11007441216000 is an frugal number, since it uses more digits than its factorization.

11007441216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11007441216000 its reverse (61214470011), we get a palindrome (11068655686011).

The spelling of 11007441216000 in words is "eleven trillion, seven billion, four hundred forty-one million, two hundred sixteen thousand".