505864497922560 has 1280 divisors, whose sum is σ = 2128997335449600. Its totient is φ = 111396509908992.

The previous prime is 505864497922549. The next prime is 505864497922643. The reversal of 505864497922560 is 65229794468505.

505864497922560 is a `hidden beast` number, since 5 + 0 + 5 + 8 + 64 + 497 + 9 + 22 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6496480747 + ... + 6496558613.

It is an arithmetic number, because the mean of its divisors is an integer number (1663279168320).

Almost surely, 2^{505864497922560} 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 505864497922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064498667724800).

505864497922560 is an abundant number, since it is smaller than the sum of its proper divisors (1623132837527040).

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

505864497922560 is a wasteful number, since it uses less digits than its factorization.

505864497922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78398 (or 78376 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 505864497922560 in words is "five hundred five trillion, eight hundred sixty-four billion, four hundred ninety-seven million, nine hundred twenty-two thousand, five hundred sixty".