501563509920 has 576 divisors, whose sum is σ = 1897277001984. Its totient is φ = 119647272960.

The previous prime is 501563509879. The next prime is 501563509957. The reversal of 501563509920 is 29905365105.

501563509920 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 635 + 0 + 9 + 9 + 2 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282252072 + ... + 282253848.

It is an arithmetic number, because the mean of its divisors is an integer number (3293883684).

Almost surely, 2^501563509920 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 501563509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948638500992).

501563509920 is an abundant number, since it is smaller than the sum of its proper divisors (1395713492064).

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

501563509920 is a wasteful number, since it uses less digits than its factorization.

501563509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 501563509920 in words is "five hundred one billion, five hundred sixty-three million, five hundred nine thousand, nine hundred twenty".