11016676000 has 384 divisors, whose sum is σ = 31084155648. Its totient is φ = 3801600000.

The previous prime is 11016675997. The next prime is 11016676003. The reversal of 11016676000 is 67661011.

It is an interprime number because it is at equal distance from previous prime (11016675997) and next prime (11016676003).

It is a self number, because there is not a number n which added to its sum of digits gives 11016676000.

It is not an unprimeable number, because it can be changed into a prime (11016676003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109075950 + ... + 109076050.

It is an arithmetic number, because the mean of its divisors is an integer number (80948322).

Almost surely, 2^11016676000 is an apocalyptic number.

11016676000 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 11016676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542077824).

11016676000 is an abundant number, since it is smaller than the sum of its proper divisors (20067479648).

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

11016676000 is a wasteful number, since it uses less digits than its factorization.

11016676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11016676000 in words is "eleven billion, sixteen million, six hundred seventy-six thousand".