282561048000 has 1680 divisors, whose sum is σ = 1328173498080. Its totient is φ = 58641408000.

The previous prime is 282561047981. The next prime is 282561048013. The reversal of 282561048000 is 840165282.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 349271596 + ... + 349272404.

Almost surely, 2^282561048000 is an apocalyptic number.

282561048000 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 282561048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664086749040).

282561048000 is an abundant number, since it is smaller than the sum of its proper divisors (1045612450080).

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

282561048000 is a wasteful number, since it uses less digits than its factorization.

282561048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 282561048000 in words is "two hundred eighty-two billion, five hundred sixty-one million, forty-eight thousand".