506175406240 has 192 divisors, whose sum is σ = 1382659891200. Its totient is φ = 171526311936.

The previous prime is 506175406213. The next prime is 506175406271. The reversal of 506175406240 is 42604571605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 506175406193 and 506175406202.

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 31 ways as a sum of consecutive naturals, for example, 38255946 + ... + 38269174.

It is an arithmetic number, because the mean of its divisors is an integer number (7201353600).

Almost surely, 2^506175406240 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 506175406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691329945600).

506175406240 is an abundant number, since it is smaller than the sum of its proper divisors (876484484960).

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

506175406240 is a wasteful number, since it uses less digits than its factorization.

506175406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13647 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 506175406240 its reverse (42604571605), we get a palindrome (548779977845).

The spelling of 506175406240 in words is "five hundred six billion, one hundred seventy-five million, four hundred six thousand, two hundred forty".