11232283984560 has 240 divisors, whose sum is σ = 37864920731040. Its totient is φ = 2983923486720.

The previous prime is 11232283984517. The next prime is 11232283984583. The reversal of 11232283984560 is 6548938223211.

11232283984560 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 22 + 83 + 98 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 11232283984497 and 11232283984506.

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 47 ways as a sum of consecutive naturals, for example, 282049450 + ... + 282089270.

It is an arithmetic number, because the mean of its divisors is an integer number (157770503046).

Almost surely, 2^{11232283984560} is an apocalyptic number.

11232283984560 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 11232283984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932460365520).

11232283984560 is an abundant number, since it is smaller than the sum of its proper divisors (26632636746480).

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

11232283984560 is a wasteful number, since it uses less digits than its factorization.

11232283984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41316 (or 41307 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11232283984560 in words is "eleven trillion, two hundred thirty-two billion, two hundred eighty-three million, nine hundred eighty-four thousand, five hundred sixty".