505115325440000 has 560 divisors, whose sum is σ = 1378166178603456. Its totient is φ = 183531110400000.

The previous prime is 505115325439979. The next prime is 505115325440003. The reversal of 505115325440000 is 44523511505.

It is a super-2 number, since 2×505115325440000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505115325440003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 90506237210 + ... + 90506242790.

Almost surely, 2^{505115325440000} is an apocalyptic number.

505115325440000 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 505115325440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689083089301728).

505115325440000 is an abundant number, since it is smaller than the sum of its proper divisors (873050853163456).

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

505115325440000 is an equidigital number, since it uses as much as digits as its factorization.

505115325440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 505115325440000 its reverse (44523511505), we get a palindrome (505159848951505).

The spelling of 505115325440000 in words is "five hundred five trillion, one hundred fifteen billion, three hundred twenty-five million, four hundred forty thousand".