11540071200 has 288 divisors, whose sum is σ = 43047244800. Its totient is φ = 2630476800.

The previous prime is 11540071199. The next prime is 11540071247. The reversal of 11540071200 is 217004511.

It is a happy number.

11540071200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8248101 + ... + 8249499.

It is an arithmetic number, because the mean of its divisors is an integer number (149469600).

Almost surely, 2^11540071200 is an apocalyptic number.

11540071200 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 11540071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523622400).

11540071200 is an abundant number, since it is smaller than the sum of its proper divisors (31507173600).

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

11540071200 is a wasteful number, since it uses less digits than its factorization.

11540071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 11540071200 its reverse (217004511), we get a palindrome (11757075711).

The spelling of 11540071200 in words is "eleven billion, five hundred forty million, seventy-one thousand, two hundred".