505531545240960 has 960 divisors, whose sum is σ = 2108811173610240. Its totient is φ = 115070467276800.

The previous prime is 505531545240859. The next prime is 505531545241007. The reversal of 505531545240960 is 69042545135505.

505531545240960 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 3 + 1 + 54 + 524 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 505531545240897 and 505531545240906.

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 119 ways as a sum of consecutive naturals, for example, 611765665 + ... + 612591455.

It is an arithmetic number, because the mean of its divisors is an integer number (2196678305844).

Almost surely, 2^{505531545240960} 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 505531545240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054405586805120).

505531545240960 is an abundant number, since it is smaller than the sum of its proper divisors (1603279628369280).

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

505531545240960 is a wasteful number, since it uses less digits than its factorization.

505531545240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826077 (or 826049 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 505531545240960 in words is "five hundred five trillion, five hundred thirty-one billion, five hundred forty-five million, two hundred forty thousand, nine hundred sixty".