11189510533400 has 96 divisors (see below), whose sum is σ = 26608629349440. Its totient is φ = 4374062837760.

The previous prime is 11189510533393. The next prime is 11189510533417. The reversal of 11189510533400 is 433501598111.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5441822 + ... + 7210578.

It is an arithmetic number, because the mean of its divisors is an integer number (277173222390).

Almost surely, 2^{11189510533400} is an apocalyptic number.

11189510533400 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 11189510533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304314674720).

11189510533400 is an abundant number, since it is smaller than the sum of its proper divisors (15419118816040).

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

11189510533400 is a wasteful number, since it uses less digits than its factorization.

11189510533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769493 (or 1769484 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 11189510533400 in words is "eleven trillion, one hundred eighty-nine billion, five hundred ten million, five hundred thirty-three thousand, four hundred".