505996768992 has 384 divisors, whose sum is σ = 1631026575360. Its totient is φ = 135237795840.

The previous prime is 505996768861. The next prime is 505996769011. The reversal of 505996768992 is 299867699505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38610313 + ... + 38623415.

It is an arithmetic number, because the mean of its divisors is an integer number (4247465040).

Almost surely, 2^505996768992 is an apocalyptic number.

505996768992 is a gapful number since it is divisible by the number (52) 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 505996768992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815513287680).

505996768992 is an abundant number, since it is smaller than the sum of its proper divisors (1125029806368).

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

505996768992 is a wasteful number, since it uses less digits than its factorization.

505996768992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 75.

The spelling of 505996768992 in words is "five hundred five billion, nine hundred ninety-six million, seven hundred sixty-eight thousand, nine hundred ninety-two".