11520475200 has 1008 divisors, whose sum is σ = 48151084800. Its totient is φ = 2587852800.

The previous prime is 11520475199. The next prime is 11520475231. The reversal of 11520475200 is 257402511.

11520475200 is a `hidden beast` number, since 115 + 20 + 4 + 7 + 520 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145828761 + ... + 145828839.

Almost surely, 2^11520475200 is an apocalyptic number.

11520475200 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 11520475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24075542400).

11520475200 is an abundant number, since it is smaller than the sum of its proper divisors (36630609600).

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

11520475200 is a wasteful number, since it uses less digits than its factorization.

11520475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 11520475200 its reverse (257402511), we get a palindrome (11777877711).

The spelling of 11520475200 in words is "eleven billion, five hundred twenty million, four hundred seventy-five thousand, two hundred".