11716603128 has 128 divisors (see below), whose sum is σ = 33763968000. Its totient is φ = 3761821440.

The previous prime is 11716603111. The next prime is 11716603141. The reversal of 11716603128 is 82130661711.

11716603128 is a `hidden beast` number, since 1 + 17 + 16 + 603 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11716603092 and 11716603101.

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 31 ways as a sum of consecutive naturals, for example, 691251 + ... + 707997.

It is an arithmetic number, because the mean of its divisors is an integer number (263781000).

Almost surely, 2^11716603128 is an apocalyptic number.

11716603128 is a gapful number since it is divisible by the number (18) 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 11716603128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881984000).

11716603128 is an abundant number, since it is smaller than the sum of its proper divisors (22047364872).

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

11716603128 is a wasteful number, since it uses less digits than its factorization.

11716603128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16882 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11716603128 in words is "eleven billion, seven hundred sixteen million, six hundred three thousand, one hundred twenty-eight".