10982784384000 has 2816 divisors, whose sum is σ = 48514756792320. Its totient is φ = 2415329280000.

The previous prime is 10982784383969. The next prime is 10982784384001. The reversal of 10982784384000 is 48348728901.

It is a happy number.

10982784384000 is a `hidden beast` number, since 10 + 98 + 2 + 78 + 438 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982784384001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35088767844 + ... + 35088768156.

Almost surely, 2^{10982784384000} is an apocalyptic number.

10982784384000 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 10982784384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257378396160).

10982784384000 is an abundant number, since it is smaller than the sum of its proper divisors (37531972408320).

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

10982784384000 is a wasteful number, since it uses less digits than its factorization.

10982784384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10982784384000 in words is "ten trillion, nine hundred eighty-two billion, seven hundred eighty-four million, three hundred eighty-four thousand".