508281873120 has 768 divisors, whose sum is σ = 2062532505600. Its totient is φ = 114512486400.

The previous prime is 508281873067. The next prime is 508281873161. The reversal of 508281873120 is 21378182805.

508281873120 is a `hidden beast` number, since 50 + 8 + 281 + 8 + 7 + 312 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 716899326 + ... + 716900034.

It is an arithmetic number, because the mean of its divisors is an integer number (2685589200).

Almost surely, 2^508281873120 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 508281873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031266252800).

508281873120 is an abundant number, since it is smaller than the sum of its proper divisors (1554250632480).

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

508281873120 is a wasteful number, since it uses less digits than its factorization.

508281873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 508281873120 in words is "five hundred eight billion, two hundred eighty-one million, eight hundred seventy-three thousand, one hundred twenty".