282268827106560 has 864 divisors, whose sum is σ = 1180059237826560. Its totient is φ = 60853535096832.

The previous prime is 282268827106543. The next prime is 282268827106571. The reversal of 282268827106560 is 65601728862282.

It is a happy number.

282268827106560 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 68 + 8 + 2 + 7 + 1 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×282268827106560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347394529 + ... + 348206111.

It is an arithmetic number, because the mean of its divisors is an integer number (1365809303040).

Almost surely, 2^{282268827106560} is an apocalyptic number.

282268827106560 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 282268827106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590029618913280).

282268827106560 is an abundant number, since it is smaller than the sum of its proper divisors (897790410720000).

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

282268827106560 is a wasteful number, since it uses less digits than its factorization.

282268827106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811863 (or 811846 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 282268827106560 in words is "two hundred eighty-two trillion, two hundred sixty-eight billion, eight hundred twenty-seven million, one hundred six thousand, five hundred sixty".