11596920192 has 768 divisors, whose sum is σ = 42945215040. Its totient is φ = 2949120000.

The previous prime is 11596920191. The next prime is 11596920227. The reversal of 11596920192 is 29102969511.

11596920192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11596920191) 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 95 ways as a sum of consecutive naturals, for example, 114820942 + ... + 114821042.

Almost surely, 2^11596920192 is an apocalyptic number.

11596920192 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 11596920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472607520).

11596920192 is an abundant number, since it is smaller than the sum of its proper divisors (31348294848).

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

11596920192 is a wasteful number, since it uses less digits than its factorization.

11596920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

It can be divided in two parts, 115969 and 20192, that added together give a square (136161 = 369²).

The spelling of 11596920192 in words is "eleven billion, five hundred ninety-six million, nine hundred twenty thousand, one hundred ninety-two".