505360550600 has 96 divisors (see below), whose sum is σ = 1187340612480. Its totient is φ = 200019252480.

The previous prime is 505360550593. The next prime is 505360550641. The reversal of 505360550600 is 6055063505.

It is a super-2 number, since 2×505360550600² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 18754337 + ... + 18781263.

It is an arithmetic number, because the mean of its divisors is an integer number (12368131380).

Almost surely, 2^505360550600 is an apocalyptic number.

505360550600 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 505360550600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593670306240).

505360550600 is an abundant number, since it is smaller than the sum of its proper divisors (681980061880).

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

505360550600 is a wasteful number, since it uses less digits than its factorization.

505360550600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27927 (or 27918 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The spelling of 505360550600 in words is "five hundred five billion, three hundred sixty million, five hundred fifty thousand, six hundred".