11072371200 has 360 divisors, whose sum is σ = 40221217344. Its totient is φ = 2683084800.

The previous prime is 11072371199. The next prime is 11072371213. The reversal of 11072371200 is 217327011.

11072371200 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 (24).

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 35 ways as a sum of consecutive naturals, for example, 4645209 + ... + 4647591.

Almost surely, 2^11072371200 is an apocalyptic number.

11072371200 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 11072371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110608672).

11072371200 is an abundant number, since it is smaller than the sum of its proper divisors (29148846144).

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

11072371200 is a wasteful number, since it uses less digits than its factorization.

11072371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 11072371200 its reverse (217327011), we get a palindrome (11289698211).

The spelling of 11072371200 in words is "eleven billion, seventy-two million, three hundred seventy-one thousand, two hundred".