11281840900 has 288 divisors, whose sum is σ = 30136821120. Its totient is φ = 3612672000.

The previous prime is 11281840861. The next prime is 11281840967. The reversal of 11281840900 is 904818211.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40148760 + ... + 40149040.

It is an arithmetic number, because the mean of its divisors is an integer number (104641740).

Almost surely, 2^11281840900 is an apocalyptic number.

11281840900 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 11281840900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068410560).

11281840900 is an abundant number, since it is smaller than the sum of its proper divisors (18854980220).

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

11281840900 is a wasteful number, since it uses less digits than its factorization.

11281840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The spelling of 11281840900 in words is "eleven billion, two hundred eighty-one million, eight hundred forty thousand, nine hundred".