11016590208000 has 704 divisors, whose sum is σ = 39655005411840. Its totient is φ = 2698665984000.

The previous prime is 11016590207977. The next prime is 11016590208007. The reversal of 11016590208000 is 80209561011.

It is a super-2 number, since 2×11016590208000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11016590208007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1053306771 + ... + 1053317229.

Almost surely, 2^{11016590208000} is an apocalyptic number.

11016590208000 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 11016590208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19827502705920).

11016590208000 is an abundant number, since it is smaller than the sum of its proper divisors (28638415203840).

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

11016590208000 is a wasteful number, since it uses less digits than its factorization.

11016590208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

Adding to 11016590208000 its reverse (80209561011), we get a palindrome (11096799769011).

The spelling of 11016590208000 in words is "eleven trillion, sixteen billion, five hundred ninety million, two hundred eight thousand".