500507412160 has 448 divisors, whose sum is σ = 1468884844800. Its totient is φ = 158544691200.

The previous prime is 500507412151. The next prime is 500507412173. The reversal of 500507412160 is 61214705005.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×500507412160³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1114715616 + ... + 1114716064.

Almost surely, 2^500507412160 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 500507412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734442422400).

500507412160 is an abundant number, since it is smaller than the sum of its proper divisors (968377432640).

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

500507412160 is a wasteful number, since it uses less digits than its factorization.

500507412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 500507412160 in words is "five hundred billion, five hundred seven million, four hundred twelve thousand, one hundred sixty".