505829159164080 has 120 divisors (see below), whose sum is σ = 1699743957361632. Its totient is φ = 134808289431552.

The previous prime is 505829159164073. The next prime is 505829159164111. The reversal of 505829159164080 is 80461951928505.

505829159164080 is a `hidden beast` number, since 5 + 0 + 5 + 82 + 91 + 59 + 16 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 505829159163999 and 505829159164017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205773004 + ... + 208216683.

Almost surely, 2^{505829159164080} is an apocalyptic number.

It is an amenable number.

505829159164080 is an abundant number, since it is smaller than the sum of its proper divisors (1193914798197552).

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

505829159164080 is a wasteful number, since it uses less digits than its factorization.

505829159164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413991403 (or 413991394 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 505829159164080 in words is "five hundred five trillion, eight hundred twenty-nine billion, one hundred fifty-nine million, one hundred sixty-four thousand, eighty".