65281282560 has 800 divisors, whose sum is σ = 256575421872. Its totient is φ = 15765995520.

The previous prime is 65281282501. The next prime is 65281282607. The reversal of 65281282560 is 6528218256.

It is a happy number.

65281282560 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 1 + 2 + 82 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5846743296 + 59434539264 = 76464^2 + 243792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 164436282 + ... + 164436678.

Almost surely, 2^65281282560 is an apocalyptic number.

65281282560 is a gapful number since it is divisible by the number (60) 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 65281282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128287710936).

65281282560 is an abundant number, since it is smaller than the sum of its proper divisors (191294139312).

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

65281282560 is a wasteful number, since it uses less digits than its factorization.

65281282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 65281282560 in words is "sixty-five billion, two hundred eighty-one million, two hundred eighty-two thousand, five hundred sixty".