505634124960 has 72 divisors (see below), whose sum is σ = 1725476456340. Its totient is φ = 134835766272.

The previous prime is 505634124959. The next prime is 505634124997. The reversal of 505634124960 is 69421436505.

505634124960 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 341 + 249 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490330455696 + 15303669264 = 700236^2 + 123708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175565965 + ... + 175568844.

Almost surely, 2^505634124960 is an apocalyptic number.

It is an amenable number.

505634124960 is an abundant number, since it is smaller than the sum of its proper divisors (1219842331380).

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

505634124960 is a wasteful number, since it uses less digits than its factorization.

505634124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351134830 (or 351134819 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 505634124960 in words is "five hundred five billion, six hundred thirty-four million, one hundred twenty-four thousand, nine hundred sixty".