505936840110560 has 192 divisors, whose sum is σ = 1238934075825600. Its totient is φ = 195151218081792.

The previous prime is 505936840110553. The next prime is 505936840110587. The reversal of 505936840110560 is 65011048639505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101027036 + ... + 105916644.

It is an arithmetic number, because the mean of its divisors is an integer number (6452781644925).

Almost surely, 2^{505936840110560} 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 505936840110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619467037912800).

505936840110560 is an abundant number, since it is smaller than the sum of its proper divisors (732997235715040).

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

505936840110560 is a wasteful number, since it uses less digits than its factorization.

505936840110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889893 (or 4889885 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 505936840110560 in words is "five hundred five trillion, nine hundred thirty-six billion, eight hundred forty million, one hundred ten thousand, five hundred sixty".