11155098417216 has 448 divisors, whose sum is σ = 32692110237696. Its totient is φ = 3335941324800.

The previous prime is 11155098417187. The next prime is 11155098417223. The reversal of 11155098417216 is 61271489055111.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5433558846 + ... + 5433560898.

It is an arithmetic number, because the mean of its divisors is an integer number (72973460352).

Almost surely, 2^{11155098417216} is an apocalyptic number.

11155098417216 is a gapful number since it is divisible by the number (16) 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 11155098417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346055118848).

11155098417216 is an abundant number, since it is smaller than the sum of its proper divisors (21537011820480).

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

11155098417216 is a wasteful number, since it uses less digits than its factorization.

11155098417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 51.

The spelling of 11155098417216 in words is "eleven trillion, one hundred fifty-five billion, ninety-eight million, four hundred seventeen thousand, two hundred sixteen".