11534974800 has 240 divisors, whose sum is σ = 37662589440. Its totient is φ = 3017285120.

The previous prime is 11534974757. The next prime is 11534974819. The reversal of 11534974800 is 847943511.

It is a happy number.

It is a Cunningham number, because it is equal to 107401²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 17828077 + ... + 17828723.

It is an arithmetic number, because the mean of its divisors is an integer number (156927456).

Almost surely, 2^11534974800 is an apocalyptic number.

11534974800 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 11534974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831294720).

11534974800 is an abundant number, since it is smaller than the sum of its proper divisors (26127614640).

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

11534974800 is a wasteful number, since it uses less digits than its factorization.

11534974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11534974800 in words is "eleven billion, five hundred thirty-four million, nine hundred seventy-four thousand, eight hundred".