11523792000 has 256 divisors, whose sum is σ = 43659982080. Its totient is φ = 2633932800.

The previous prime is 11523791999. The next prime is 11523792019. The reversal of 11523792000 is 29732511.

11523792000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 318852 + ... + 353148.

It is an arithmetic number, because the mean of its divisors is an integer number (170546805).

Almost surely, 2^11523792000 is an apocalyptic number.

11523792000 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 11523792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829991040).

11523792000 is an abundant number, since it is smaller than the sum of its proper divisors (32136190080).

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

11523792000 is an equidigital number, since it uses as much as digits as its factorization.

11523792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336 (or 34314 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 11523792000 in words is "eleven billion, five hundred twenty-three million, seven hundred ninety-two thousand".