11151283200 has 528 divisors, whose sum is σ = 39475330560. Its totient is φ = 2770042880.

The previous prime is 11151283193. The next prime is 11151283211. The reversal of 11151283200 is 238215111.

It is a super-2 number, since 2×11151283200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104217547 + ... + 104217653.

Almost surely, 2^11151283200 is an apocalyptic number.

11151283200 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 11151283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737665280).

11151283200 is an abundant number, since it is smaller than the sum of its proper divisors (28324047360).

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

11151283200 is a wasteful number, since it uses less digits than its factorization.

11151283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11151283200 its reverse (238215111), we get a palindrome (11389498311).

The spelling of 11151283200 in words is "eleven billion, one hundred fifty-one million, two hundred eighty-three thousand, two hundred".