11542003200 has 960 divisors, whose sum is σ = 52283320320. Its totient is φ = 2428600320.

The previous prime is 11542003199. The next prime is 11542003211. The reversal of 11542003200 is 230024511.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 31449417 + ... + 31449783.

It is an arithmetic number, because the mean of its divisors is an integer number (54461792).

Almost surely, 2^11542003200 is an apocalyptic number.

11542003200 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 11542003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26141660160).

11542003200 is an abundant number, since it is smaller than the sum of its proper divisors (40741317120).

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

11542003200 is a wasteful number, since it uses less digits than its factorization.

11542003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11542003200 its reverse (230024511), we get a palindrome (11772027711).

The spelling of 11542003200 in words is "eleven billion, five hundred forty-two million, three thousand, two hundred".