501945384960 has 360 divisors, whose sum is σ = 1753644228336. Its totient is φ = 132804771840.

The previous prime is 501945384953. The next prime is 501945384971. The reversal of 501945384960 is 69483549105.

501945384960 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 4 + 538 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 501945384897 and 501945384906.

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, 96581082 + ... + 96586278.

Almost surely, 2^501945384960 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 501945384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876822114168).

501945384960 is an abundant number, since it is smaller than the sum of its proper divisors (1251698843376).

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

501945384960 is a wasteful number, since it uses less digits than its factorization.

501945384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 501945384960 in words is "five hundred one billion, nine hundred forty-five million, three hundred eighty-four thousand, nine hundred sixty".