11163531600 has 540 divisors, whose sum is σ = 42798019680. Its totient is φ = 2692684800.

The previous prime is 11163531557. The next prime is 11163531607. The reversal of 11163531600 is 613536111.

11163531600 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 53 + 1 + 600 = 666.

11163531600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163531607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35895445 + ... + 35895755.

It is an arithmetic number, because the mean of its divisors is an integer number (79255592).

Almost surely, 2^11163531600 is an apocalyptic number.

11163531600 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 11163531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21399009840).

11163531600 is an abundant number, since it is smaller than the sum of its proper divisors (31634488080).

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

11163531600 is a wasteful number, since it uses less digits than its factorization.

11163531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11163531600 in words is "eleven billion, one hundred sixty-three million, five hundred thirty-one thousand, six hundred".