282147727680 has 784 divisors, whose sum is σ = 1239890945664. Its totient is φ = 59525591040.

The previous prime is 282147727651. The next prime is 282147727699. The reversal of 282147727680 is 86727741282.

282147727680 is a `hidden beast` number, since 2 + 8 + 21 + 477 + 2 + 76 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21221835 + ... + 21235125.

Almost surely, 2^282147727680 is an apocalyptic number.

282147727680 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 282147727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619945472832).

282147727680 is an abundant number, since it is smaller than the sum of its proper divisors (957743217984).

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

282147727680 is a wasteful number, since it uses less digits than its factorization.

282147727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 282147727680 in words is "two hundred eighty-two billion, one hundred forty-seven million, seven hundred twenty-seven thousand, six hundred eighty".