11235168000 has 432 divisors, whose sum is σ = 46211046336. Its totient is φ = 2567577600.

The previous prime is 11235167947. The next prime is 11235168019. The reversal of 11235168000 is 86153211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013214 + ... + 2018786.

Almost surely, 2^11235168000 is an apocalyptic number.

11235168000 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 11235168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23105523168).

11235168000 is an abundant number, since it is smaller than the sum of its proper divisors (34975878336).

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

11235168000 is an equidigital number, since it uses as much as digits as its factorization.

11235168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11235168000 in words is "eleven billion, two hundred thirty-five million, one hundred sixty-eight thousand".