506013411600 has 360 divisors, whose sum is σ = 1898872035840. Its totient is φ = 124296622080.

The previous prime is 506013411581. The next prime is 506013411601. The reversal of 506013411600 is 6114310605.

506013411600 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 13 + 41 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (506013411601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2788441 + ... + 2964359.

It is an arithmetic number, because the mean of its divisors is an integer number (5274644544).

Almost surely, 2^506013411600 is an apocalyptic number.

506013411600 is a gapful number since it is divisible by the number (50) 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 506013411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949436017920).

506013411600 is an abundant number, since it is smaller than the sum of its proper divisors (1392858624240).

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

506013411600 is a wasteful number, since it uses less digits than its factorization.

506013411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176007 (or 175993 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 506013411600 in words is "five hundred six billion, thirteen million, four hundred eleven thousand, six hundred".