505663503612660 has 120 divisors (see below), whose sum is σ = 1586290818891240. Its totient is φ = 134843118149376.

The previous prime is 505663503612649. The next prime is 505663503612661. The reversal of 505663503612660 is 66216305366505.

505663503612660 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 6 + 3 + 503 + 6 + 126 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68133996766224 + 437529506846436 = 8254332^2 + 20917206^2 .

It is a super-2 number, since 2×505663503612660² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 505663503612597 and 505663503612606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505663503612661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 886238746 + ... + 886809134.

It is an arithmetic number, because the mean of its divisors is an integer number (13219090157427).

Almost surely, 2^{505663503612660} is an apocalyptic number.

It is an amenable number.

505663503612660 is an abundant number, since it is smaller than the sum of its proper divisors (1080627315278580).

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

505663503612660 is a wasteful number, since it uses less digits than its factorization.

505663503612660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117647 (or 1117636 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 505663503612660 in words is "five hundred five trillion, six hundred sixty-three billion, five hundred three million, six hundred twelve thousand, six hundred sixty".