11132608000 has 160 divisors (see below), whose sum is σ = 28358149248. Its totient is φ = 4357120000.

The previous prime is 11132607991. The next prime is 11132608001. The reversal of 11132608000 is 80623111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132608001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006150 + ... + 3009850.

Almost surely, 2^11132608000 is an apocalyptic number.

11132608000 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 11132608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14179074624).

11132608000 is an abundant number, since it is smaller than the sum of its proper divisors (17225541248).

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

11132608000 is an frugal number, since it uses more digits than its factorization.

11132608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 11132608000 in words is "eleven billion, one hundred thirty-two million, six hundred eight thousand".