505748030000 has 100 divisors (see below), whose sum is σ = 1225963691040. Its totient is φ = 202051872000.

The previous prime is 505748029993. The next prime is 505748030027. The reversal of 505748030000 is 30847505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8259497 + ... + 8320503.

Almost surely, 2^505748030000 is an apocalyptic number.

505748030000 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 505748030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612981845520).

505748030000 is an abundant number, since it is smaller than the sum of its proper divisors (720215661040).

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

505748030000 is an equidigital number, since it uses as much as digits as its factorization.

505748030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61864 (or 61843 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 505748030000 its reverse (30847505), we get a palindrome (505778877505).

The spelling of 505748030000 in words is "five hundred five billion, seven hundred forty-eight million, thirty thousand".