11516928192 has 448 divisors, whose sum is σ = 42679802880. Its totient is φ = 2958336000.

The previous prime is 11516928191. The next prime is 11516928229. The reversal of 11516928192 is 29182961511.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (11516928191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13438228 + ... + 13439084.

Almost surely, 2^11516928192 is an apocalyptic number.

11516928192 is a gapful number since it is divisible by the number (12) 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 11516928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339901440).

11516928192 is an abundant number, since it is smaller than the sum of its proper divisors (31162874688).

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

11516928192 is a wasteful number, since it uses less digits than its factorization.

11516928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 11516928192 in words is "eleven billion, five hundred sixteen million, nine hundred twenty-eight thousand, one hundred ninety-two".