506575720517240 has 128 divisors (see below), whose sum is σ = 1255833803358720. Its totient is φ = 182369572032000.

The previous prime is 506575720517233. The next prime is 506575720517267. The reversal of 506575720517240 is 42715027575605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514434389 + ... + 515418171.

It is an arithmetic number, because the mean of its divisors is an integer number (9811201588740).

Almost surely, 2^{506575720517240} 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 506575720517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916901679360).

506575720517240 is an abundant number, since it is smaller than the sum of its proper divisors (749258082841480).

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

506575720517240 is a wasteful number, since it uses less digits than its factorization.

506575720517240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995493 (or 995489 counting only the distinct ones).

The product of its (nonzero) digits is 20580000, while the sum is 56.

The spelling of 506575720517240 in words is "five hundred six trillion, five hundred seventy-five billion, seven hundred twenty million, five hundred seventeen thousand, two hundred forty".