505138503744 has 840 divisors, whose sum is σ = 1856874518400. Its totient is φ = 135697379328.

The previous prime is 505138503739. The next prime is 505138503767. The reversal of 505138503744 is 447305831505.

It is a happy number.

505138503744 is a `hidden beast` number, since 5 + 0 + 5 + 138 + 503 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 505138503744.

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 119 ways as a sum of consecutive naturals, for example, 513873877 + ... + 513874859.

Almost surely, 2^505138503744 is an apocalyptic number.

505138503744 is a gapful number since it is divisible by the number (54) 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 505138503744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928437259200).

505138503744 is an abundant number, since it is smaller than the sum of its proper divisors (1351736014656).

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

505138503744 is an equidigital number, since it uses as much as digits as its factorization.

505138503744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 505138503744 in words is "five hundred five billion, one hundred thirty-eight million, five hundred three thousand, seven hundred forty-four".