500871872160 has 1008 divisors, whose sum is σ = 2036208004992. Its totient is φ = 116068930560.

The previous prime is 500871872131. The next prime is 500871872231. The reversal of 500871872160 is 61278178005.

It is a happy number.

500871872160 is a `hidden beast` number, since 500 + 8 + 7 + 1 + 87 + 2 + 1 + 60 = 666.

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

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 324608349 + ... + 324609891.

It is an arithmetic number, because the mean of its divisors is an integer number (2020047624).

Almost surely, 2^500871872160 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 500871872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018104002496).

500871872160 is an abundant number, since it is smaller than the sum of its proper divisors (1535336132832).

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

500871872160 is a wasteful number, since it uses less digits than its factorization.

500871872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 500871872160 in words is "five hundred billion, eight hundred seventy-one million, eight hundred seventy-two thousand, one hundred sixty".