11563421100 has 288 divisors, whose sum is σ = 41853321216. Its totient is φ = 2394681600.

The previous prime is 11563421081. The next prime is 11563421137. The reversal of 11563421100 is 112436511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8846647 + ... + 8847953.

It is an arithmetic number, because the mean of its divisors is an integer number (145324032).

Almost surely, 2^11563421100 is an apocalyptic number.

11563421100 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 11563421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20926660608).

11563421100 is an abundant number, since it is smaller than the sum of its proper divisors (30289900116).

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

11563421100 is a wasteful number, since it uses less digits than its factorization.

11563421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11563421100 its reverse (112436511), we get a palindrome (11675857611).

The spelling of 11563421100 in words is "eleven billion, five hundred sixty-three million, four hundred twenty-one thousand, one hundred".