505364012010 has 256 divisors, whose sum is σ = 1584138608640. Its totient is φ = 113024160000.

The previous prime is 505364012009. The next prime is 505364012039. The reversal of 505364012010 is 10210463505.

505364012010 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 640 + 1 + 2 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110074815 + ... + 110079405.

It is an arithmetic number, because the mean of its divisors is an integer number (6188041440).

Almost surely, 2^505364012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505364012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792069304320).

505364012010 is an abundant number, since it is smaller than the sum of its proper divisors (1078774596630).

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

505364012010 is a wasteful number, since it uses less digits than its factorization.

505364012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 505364012010 its reverse (10210463505), we get a palindrome (515574475515).

The spelling of 505364012010 in words is "five hundred five billion, three hundred sixty-four million, twelve thousand, ten".