505540000000 has 576 divisors, whose sum is σ = 1513833624576. Its totient is φ = 164736000000.

The previous prime is 505539999989. The next prime is 505540000013. The reversal of 505540000000 is 45505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219999922 + ... + 3220000078.

It is an arithmetic number, because the mean of its divisors is an integer number (2628183376).

Almost surely, 2^505540000000 is an apocalyptic number.

505540000000 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 505540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756916812288).

505540000000 is an abundant number, since it is smaller than the sum of its proper divisors (1008293624576).

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

505540000000 is an frugal number, since it uses more digits than its factorization.

505540000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

Adding to 505540000000 its reverse (45505), we get a palindrome (505540045505).

The spelling of 505540000000 in words is "five hundred five billion, five hundred forty million", and thus it is an aban number.