505455410688 has 320 divisors, whose sum is σ = 1467086100480. Its totient is φ = 154054656000.

The previous prime is 505455410687. The next prime is 505455410693. The reversal of 505455410688 is 886014554505.

It is a self number, because there is not a number n which added to its sum of digits gives 505455410688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505455410687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 634197106 + ... + 634197902.

It is an arithmetic number, because the mean of its divisors is an integer number (4584644064).

Almost surely, 2^505455410688 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 505455410688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733543050240).

505455410688 is an abundant number, since it is smaller than the sum of its proper divisors (961630689792).

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

505455410688 is a wasteful number, since it uses less digits than its factorization.

505455410688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 51.

The spelling of 505455410688 in words is "five hundred five billion, four hundred fifty-five million, four hundred ten thousand, six hundred eighty-eight".