506041203360 has 768 divisors, whose sum is σ = 2047897313280. Its totient is φ = 101968035840.

The previous prime is 506041203359. The next prime is 506041203361. The reversal of 506041203360 is 63302140605.

It is an interprime number because it is at equal distance from previous prime (506041203359) and next prime (506041203361).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (506041203361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696067317 + ... + 696068043.

It is an arithmetic number, because the mean of its divisors is an integer number (2666532960).

Almost surely, 2^506041203360 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 506041203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023948656640).

506041203360 is an abundant number, since it is smaller than the sum of its proper divisors (1541856109920).

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

506041203360 is a wasteful number, since it uses less digits than its factorization.

506041203360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 506041203360 its reverse (63302140605), we get a palindrome (569343343965).

The spelling of 506041203360 in words is "five hundred six billion, forty-one million, two hundred three thousand, three hundred sixty".