11582071200 has 864 divisors, whose sum is σ = 50441771520. Its totient is φ = 2554675200.

The previous prime is 11582071183. The next prime is 11582071201. The reversal of 11582071200 is 217028511.

11582071200 is a `hidden beast` number, since 11 + 582 + 0 + 71 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11582071201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32810224 + ... + 32810576.

It is an arithmetic number, because the mean of its divisors is an integer number (58381680).

Almost surely, 2^11582071200 is an apocalyptic number.

11582071200 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 11582071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220885760).

11582071200 is an abundant number, since it is smaller than the sum of its proper divisors (38859700320).

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

11582071200 is a wasteful number, since it uses less digits than its factorization.

11582071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 11582071200 its reverse (217028511), we get a palindrome (11799099711).

The spelling of 11582071200 in words is "eleven billion, five hundred eighty-two million, seventy-one thousand, two hundred".