505280000800 has 72 divisors (see below), whose sum is σ = 1239046695936. Its totient is φ = 201205597440.

The previous prime is 505280000791. The next prime is 505280000803. The reversal of 505280000800 is 8000082505.

It is not an unprimeable number, because it can be changed into a prime (505280000803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1237744 + ... + 1594543.

It is an arithmetic number, because the mean of its divisors is an integer number (17208981888).

Almost surely, 2^505280000800 is an apocalyptic number.

505280000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505280000800 is an abundant number, since it is smaller than the sum of its proper divisors (733766695136).

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

505280000800 is a wasteful number, since it uses less digits than its factorization.

505280000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832530 (or 2832517 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 505280000800 in words is "five hundred five billion, two hundred eighty million, eight hundred", and thus it is an aban number.