282543506560 has 128 divisors (see below), whose sum is σ = 774285459840. Its totient is φ = 96578887680.

The previous prime is 282543506551. The next prime is 282543506611. The reversal of 282543506560 is 65605345282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 282543506560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387612 + ... + 1578148.

It is an arithmetic number, because the mean of its divisors is an integer number (6049105155).

Almost surely, 2^282543506560 is an apocalyptic number.

282543506560 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 282543506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387142729920).

282543506560 is an abundant number, since it is smaller than the sum of its proper divisors (491741953280).

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

282543506560 is a wasteful number, since it uses less digits than its factorization.

282543506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190894 (or 190882 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 282543506560 in words is "two hundred eighty-two billion, five hundred forty-three million, five hundred six thousand, five hundred sixty".