531785554560 has 896 divisors, whose sum is σ = 2101466505600. Its totient is φ = 127794143232.

The previous prime is 531785554513. The next prime is 531785554571. The reversal of 531785554560 is 65455587135.

531785554560 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 85 + 554 + 5 + 6 + 0 = 666.

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 = 531785554497 and 531785554506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 260806021 + ... + 260808059.

It is an arithmetic number, because the mean of its divisors is an integer number (2345386725).

Almost surely, 2^531785554560 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 531785554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050733252800).

531785554560 is an abundant number, since it is smaller than the sum of its proper divisors (1569680951040).

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

531785554560 is a wasteful number, since it uses less digits than its factorization.

531785554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 531785554560 in words is "five hundred thirty-one billion, seven hundred eighty-five million, five hundred fifty-four thousand, five hundred sixty".