11628019104 has 384 divisors, whose sum is σ = 36222681600. Its totient is φ = 3235921920.

The previous prime is 11628019103. The next prime is 11628019141. The reversal of 11628019104 is 40191082611.

11628019104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11628019103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50777262 + ... + 50777490.

It is an arithmetic number, because the mean of its divisors is an integer number (94329900).

Almost surely, 2^11628019104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111340800).

11628019104 is an abundant number, since it is smaller than the sum of its proper divisors (24594662496).

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

11628019104 is a wasteful number, since it uses less digits than its factorization.

11628019104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11628019104 in words is "eleven billion, six hundred twenty-eight million, nineteen thousand, one hundred four".