507445860096 has 432 divisors, whose sum is σ = 1702116439296. Its totient is φ = 142399586304.

The previous prime is 507445860071. The next prime is 507445860107. The reversal of 507445860096 is 690068544705.

507445860096 is a `hidden beast` number, since 50 + 7 + 4 + 4 + 586 + 0 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333187591 + ... + 333189113.

Almost surely, 2^507445860096 is an apocalyptic number.

507445860096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507445860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851058219648).

507445860096 is an abundant number, since it is smaller than the sum of its proper divisors (1194670579200).

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

507445860096 is a wasteful number, since it uses less digits than its factorization.

507445860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 507445860096 in words is "five hundred seven billion, four hundred forty-five million, eight hundred sixty thousand, ninety-six".