282006779904000 has 3360 divisors, whose sum is σ = 1148873311901952. Its totient is φ = 68797071360000.

The previous prime is 282006779903951. The next prime is 282006779904077. The reversal of 282006779904000 is 409977600282.

282006779904000 is a `hidden beast` number, since 2 + 8 + 20 + 0 + 67 + 79 + 90 + 400 + 0 = 666.

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

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 223 ways as a sum of consecutive naturals, for example, 1040615423865 + ... + 1040615424135.

Almost surely, 2^{282006779904000} is an apocalyptic number.

282006779904000 is a gapful number since it is divisible by the number (20) 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 282006779904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574436655950976).

282006779904000 is an abundant number, since it is smaller than the sum of its proper divisors (866866531997952).

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

282006779904000 is an frugal number, since it uses more digits than its factorization.

282006779904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 282006779904000 in words is "two hundred eighty-two trillion, six billion, seven hundred seventy-nine million, nine hundred four thousand".