507199944960 has 432 divisors, whose sum is σ = 1938889540224. Its totient is φ = 121761497088.

The previous prime is 507199944929. The next prime is 507199944971. The reversal of 507199944960 is 69449991705.

507199944960 is a `hidden beast` number, since 50 + 7 + 1 + 9 + 9 + 94 + 496 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4448019 + ... + 4560621.

It is an arithmetic number, because the mean of its divisors is an integer number (4488170232).

Almost surely, 2^507199944960 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 507199944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969444770112).

507199944960 is an abundant number, since it is smaller than the sum of its proper divisors (1431689595264).

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

507199944960 is a wasteful number, since it uses less digits than its factorization.

507199944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112670 (or 112653 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 507199944960 in words is "five hundred seven billion, one hundred ninety-nine million, nine hundred forty-four thousand, nine hundred sixty".