11308032000 has 448 divisors, whose sum is σ = 41914267200. Its totient is φ = 3008102400.

The previous prime is 11308031951. The next prime is 11308032007. The reversal of 11308032000 is 23080311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11308032007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647796 + ... + 27648204.

Almost surely, 2^11308032000 is an apocalyptic number.

11308032000 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 11308032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20957133600).

11308032000 is an abundant number, since it is smaller than the sum of its proper divisors (30606235200).

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

11308032000 is an frugal number, since it uses more digits than its factorization.

11308032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 11308032000 in words is "eleven billion, three hundred eight million, thirty-two thousand".