11282378042880 has 2880 divisors, whose sum is σ = 51341464025280. Its totient is φ = 2333381492736.

The previous prime is 11282378042869. The next prime is 11282378042921. The reversal of 11282378042880 is 8824087328211.

11282378042880 is a `hidden beast` number, since 1 + 1 + 282 + 3 + 7 + 80 + 4 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48422223244 + ... + 48422223476.

It is an arithmetic number, because the mean of its divisors is an integer number (17826897231).

Almost surely, 2^{11282378042880} is an apocalyptic number.

11282378042880 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 11282378042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25670732012640).

11282378042880 is an abundant number, since it is smaller than the sum of its proper divisors (40059085982400).

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

11282378042880 is a wasteful number, since it uses less digits than its factorization.

11282378042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 11282378042880 in words is "eleven trillion, two hundred eighty-two billion, three hundred seventy-eight million, forty-two thousand, eight hundred eighty".