531045460205568 has 1792 divisors, whose sum is σ = 2085596058009600. Its totient is φ = 129442326773760.

The previous prime is 531045460205551. The next prime is 531045460205593. The reversal of 531045460205568 is 865502064540135.

531045460205568 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 4 + 5 + 4 + 60 + 20 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a congruent number.

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, 20760981003 + ... + 20761006581.

Almost surely, 2^{531045460205568} 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 531045460205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042798029004800).

531045460205568 is an abundant number, since it is smaller than the sum of its proper divisors (1554550597804032).

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

531045460205568 is a wasteful number, since it uses less digits than its factorization.

531045460205568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25708 (or 25678 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 531045460205568 in words is "five hundred thirty-one trillion, forty-five billion, four hundred sixty million, two hundred five thousand, five hundred sixty-eight".