65286529280064 has 63 divisors (see below), whose sum is σ = 187132604174607. Its totient is φ = 21762111786624.

The previous prime is 65286529280053. The next prime is 65286529280069. The reversal of 65286529280064 is 46008292568256.

The square root of 65286529280064 is 8080008.

It is a perfect power (a square), and thus also a powerful number.

65286529280064 is a `hidden beast` number, since 6 + 5 + 2 + 86 + 529 + 28 + 0 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65286529279983 and 65286529280010.

It is not an unprimeable number, because it can be changed into a prime (65286529280069) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 193751859 + ... + 194088525.

Almost surely, 2^{65286529280064} is an apocalyptic number.

65286529280064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65286529280064 is the 8080008-th square number.

It is an amenable number.

65286529280064 is an abundant number, since it is smaller than the sum of its proper divisors (121846074894543).

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

65286529280064 is an frugal number, since it uses more digits than its factorization.

65286529280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673352 (or 336672 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 65286529280064 in words is "sixty-five trillion, two hundred eighty-six billion, five hundred twenty-nine million, two hundred eighty thousand, sixty-four".