11282805684000 has 768 divisors, whose sum is σ = 43705194624000. Its totient is φ = 2817441792000.

The previous prime is 11282805683993. The next prime is 11282805684001. The reversal of 11282805684000 is 48650828211.

11282805684000 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 80 + 568 + 4 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11282805684001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365348560 + ... + 365379440.

It is an arithmetic number, because the mean of its divisors is an integer number (56907805500).

Almost surely, 2^{11282805684000} is an apocalyptic number.

11282805684000 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 11282805684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852597312000).

11282805684000 is an abundant number, since it is smaller than the sum of its proper divisors (32422388940000).

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

11282805684000 is a wasteful number, since it uses less digits than its factorization.

11282805684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131 (or 31107 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11282805684000 in words is "eleven trillion, two hundred eighty-two billion, eight hundred five million, six hundred eighty-four thousand".