11200289241216 has 64 divisors (see below), whose sum is σ = 29751564326400. Its totient is φ = 3733329853440.

The previous prime is 11200289241187. The next prime is 11200289241241. The reversal of 11200289241216 is 61214298200211.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14743326 + ... + 15484386.

It is an arithmetic number, because the mean of its divisors is an integer number (464868192600).

Almost surely, 2^{11200289241216} is an apocalyptic number.

11200289241216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11200289241216 is an abundant number, since it is smaller than the sum of its proper divisors (18551275085184).

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

11200289241216 is an equidigital number, since it uses as much as digits as its factorization.

11200289241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780437 (or 780425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11200289241216 in words is "eleven trillion, two hundred billion, two hundred eighty-nine million, two hundred forty-one thousand, two hundred sixteen".