505321854336 has 576 divisors, whose sum is σ = 1614355142400. Its totient is φ = 151612231680.

The previous prime is 505321854307. The next prime is 505321854391. The reversal of 505321854336 is 633458123505.

505321854336 is a `hidden beast` number, since 5 + 0 + 5 + 32 + 185 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 505321854291 and 505321854300.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1921375741 + ... + 1921376003.

It is an arithmetic number, because the mean of its divisors is an integer number (2802699900).

Almost surely, 2^505321854336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505321854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807177571200).

505321854336 is an abundant number, since it is smaller than the sum of its proper divisors (1109033288064).

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

505321854336 is a wasteful number, since it uses less digits than its factorization.

505321854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 505321854336 in words is "five hundred five billion, three hundred twenty-one million, eight hundred fifty-four thousand, three hundred thirty-six".