508944345120 has 960 divisors, whose sum is σ = 1985482920960. Its totient is φ = 122276044800.

The previous prime is 508944345113. The next prime is 508944345163. The reversal of 508944345120 is 21543449805.

508944345120 is a `hidden beast` number, since 5 + 0 + 8 + 94 + 43 + 4 + 512 + 0 = 666.

508944345120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 465639294 + ... + 465640386.

It is an arithmetic number, because the mean of its divisors is an integer number (2068211376).

Almost surely, 2^508944345120 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 508944345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992741460480).

508944345120 is an abundant number, since it is smaller than the sum of its proper divisors (1476538575840).

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

508944345120 is a wasteful number, since it uses less digits than its factorization.

508944345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 508944345120 in words is "five hundred eight billion, nine hundred forty-four million, three hundred forty-five thousand, one hundred twenty".