11152605208800 has 576 divisors, whose sum is σ = 40708191009024. Its totient is φ = 2628263116800.

The previous prime is 11152605208783. The next prime is 11152605208841. The reversal of 11152605208800 is 880250625111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1266905199 + ... + 1266914001.

It is an arithmetic number, because the mean of its divisors is an integer number (70673942724).

Almost surely, 2^{11152605208800} is an apocalyptic number.

11152605208800 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 11152605208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354095504512).

11152605208800 is an abundant number, since it is smaller than the sum of its proper divisors (29555585800224).

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

11152605208800 is a wasteful number, since it uses less digits than its factorization.

11152605208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 11152605208800 in words is "eleven trillion, one hundred fifty-two billion, six hundred five million, two hundred eight thousand, eight hundred".