505385398889280 has 7168 divisors, whose sum is σ = 2507301303091200. Its totient is φ = 92784316907520.

The previous prime is 505385398889279. The next prime is 505385398889341. The reversal of 505385398889280 is 82988893583505.

505385398889280 is a `hidden beast` number, since 5 + 0 + 5 + 385 + 3 + 9 + 88 + 89 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 505385398889280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1646206510887 + ... + 1646206511193.

It is an arithmetic number, because the mean of its divisors is an integer number (349790918400).

Almost surely, 2^{505385398889280} 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 505385398889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253650651545600).

505385398889280 is an abundant number, since it is smaller than the sum of its proper divisors (2001915904201920).

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

505385398889280 is a wasteful number, since it uses less digits than its factorization.

505385398889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5971968000, while the sum is 81.

The spelling of 505385398889280 in words is "five hundred five trillion, three hundred eighty-five billion, three hundred ninety-eight million, eight hundred eighty-nine thousand, two hundred eighty".