505970006520000 has 2240 divisors, whose sum is σ = 1969535786803200. Its totient is φ = 113235763200000.

The previous prime is 505970006519953. The next prime is 505970006520053. The reversal of 505970006520000 is 25600079505.

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 319 ways as a sum of consecutive naturals, for example, 361665479301 + ... + 361665480699.

It is an arithmetic number, because the mean of its divisors is an integer number (879257047680).

Almost surely, 2^{505970006520000} is an apocalyptic number.

505970006520000 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 505970006520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984767893401600).

505970006520000 is an abundant number, since it is smaller than the sum of its proper divisors (1463565780283200).

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

505970006520000 is a wasteful number, since it uses less digits than its factorization.

505970006520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

Adding to 505970006520000 its reverse (25600079505), we get a palindrome (505995606599505).

The spelling of 505970006520000 in words is "five hundred five trillion, nine hundred seventy billion, six million, five hundred twenty thousand".