11281783680 has 320 divisors, whose sum is σ = 40484228400. Its totient is φ = 2993946624.

The previous prime is 11281783673. The next prime is 11281783771. The reversal of 11281783680 is 8638718211.

It is a happy number.

11281783680 is a `hidden beast` number, since 1 + 1 + 281 + 7 + 8 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 14670336 + ... + 14671104.

Almost surely, 2^11281783680 is an apocalyptic number.

11281783680 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 11281783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242114200).

11281783680 is an abundant number, since it is smaller than the sum of its proper divisors (29202444720).

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

11281783680 is an equidigital number, since it uses as much as digits as its factorization.

11281783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11281783680 in words is "eleven billion, two hundred eighty-one million, seven hundred eighty-three thousand, six hundred eighty".