505268338900 has 72 divisors (see below), whose sum is σ = 1181247457824. Its totient is φ = 186485692800.

The previous prime is 505268338879. The next prime is 505268338937. The reversal of 505268338900 is 9833862505.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3213519 + ... + 3367081.

It is an arithmetic number, because the mean of its divisors is an integer number (16406214692).

Almost surely, 2^505268338900 is an apocalyptic number.

505268338900 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 505268338900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590623728912).

505268338900 is an abundant number, since it is smaller than the sum of its proper divisors (675979118924).

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

505268338900 is a wasteful number, since it uses less digits than its factorization.

505268338900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156121 (or 156114 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 505268338900 in words is "five hundred five billion, two hundred sixty-eight million, three hundred thirty-eight thousand, nine hundred".