506575717144992 has 216 divisors, whose sum is σ = 1583474388848352. Its totient is φ = 153504615095040.

The previous prime is 506575717144961. The next prime is 506575717145009. The reversal of 506575717144992 is 299441717575605.

506575717144992 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 7 + 5 + 7 + 171 + 449 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 506575717144992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2106197413 + ... + 2106437915.

It is an arithmetic number, because the mean of its divisors is an integer number (7330899948372).

Almost surely, 2^{506575717144992} 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 506575717144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791737194424176).

506575717144992 is an abundant number, since it is smaller than the sum of its proper divisors (1076898671703360).

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

506575717144992 is a wasteful number, since it uses less digits than its factorization.

506575717144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300984 (or 300962 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 72.

The spelling of 506575717144992 in words is "five hundred six trillion, five hundred seventy-five billion, seven hundred seventeen million, one hundred forty-four thousand, nine hundred ninety-two".