507032068992 has 256 divisors, whose sum is σ = 1478200320000. Its totient is φ = 153368764416.

The previous prime is 507032068943. The next prime is 507032068999. The reversal of 507032068992 is 299860230705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507032068999) 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, 26861734 + ... + 26880602.

It is an arithmetic number, because the mean of its divisors is an integer number (5774220000).

Almost surely, 2^507032068992 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 507032068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739100160000).

507032068992 is an abundant number, since it is smaller than the sum of its proper divisors (971168251008).

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

507032068992 is a wasteful number, since it uses less digits than its factorization.

507032068992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 507032068992 in words is "five hundred seven billion, thirty-two million, sixty-eight thousand, nine hundred ninety-two".