5305066505856 has 768 divisors, whose sum is σ = 18098741606400. Its totient is φ = 1475835863040.

The previous prime is 5305066505777. The next prime is 5305066505857. The reversal of 5305066505856 is 6585056605035.

5305066505856 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 0 + 6 + 6 + 50 + 585 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5305066505857) 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 95 ways as a sum of consecutive naturals, for example, 4862571871 + ... + 4862572961.

It is an arithmetic number, because the mean of its divisors is an integer number (23566069800).

Almost surely, 2^{5305066505856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305066505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049370803200).

5305066505856 is an abundant number, since it is smaller than the sum of its proper divisors (12793675100544).

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

5305066505856 is a wasteful number, since it uses less digits than its factorization.

5305066505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 5305066505856 in words is "five trillion, three hundred five billion, sixty-six million, five hundred five thousand, eight hundred fifty-six".