11281939200 has 540 divisors, whose sum is σ = 47689013680. Its totient is φ = 2577899520.

The previous prime is 11281939199. The next prime is 11281939241. The reversal of 11281939200 is 293918211.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×11281939200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3627246 + ... + 3630354.

Almost surely, 2^11281939200 is an apocalyptic number.

11281939200 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 11281939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844506840).

11281939200 is an abundant number, since it is smaller than the sum of its proper divisors (36407074480).

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

11281939200 is an equidigital number, since it uses as much as digits as its factorization.

11281939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11281939200 in words is "eleven billion, two hundred eighty-one million, nine hundred thirty-nine thousand, two hundred".