11616025600 has 132 divisors (see below), whose sum is σ = 28880042184. Its totient is φ = 4632494080.

The previous prime is 11616025583. The next prime is 11616025601. The reversal of 11616025600 is 652061611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616025601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15026814 + ... + 15027586.

Almost surely, 2^11616025600 is an apocalyptic number.

11616025600 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 11616025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440021092).

11616025600 is an abundant number, since it is smaller than the sum of its proper divisors (17264016584).

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

11616025600 is an equidigital number, since it uses as much as digits as its factorization.

11616025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 11616025600 in words is "eleven billion, six hundred sixteen million, twenty-five thousand, six hundred".