508731973120 has 320 divisors, whose sum is σ = 1457610992640. Its totient is φ = 166496698368.

The previous prime is 508731973109. The next prime is 508731973121. The reversal of 508731973120 is 21379137805.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508731973121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271612504 + ... + 271614376.

It is an arithmetic number, because the mean of its divisors is an integer number (4555034352).

Almost surely, 2^508731973120 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 508731973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728805496320).

508731973120 is an abundant number, since it is smaller than the sum of its proper divisors (948879019520).

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

508731973120 is a wasteful number, since it uses less digits than its factorization.

508731973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 508731973120 in words is "five hundred eight billion, seven hundred thirty-one million, nine hundred seventy-three thousand, one hundred twenty".