531966442480 has 480 divisors, whose sum is σ = 1470121156224. Its totient is φ = 178421760000.

The previous prime is 531966442477. The next prime is 531966442481. The reversal of 531966442480 is 84244669135.

It is a super-3 number, since 3×531966442480³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531966442481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921951952 + ... + 921952528.

Almost surely, 2^531966442480 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 531966442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735060578112).

531966442480 is an abundant number, since it is smaller than the sum of its proper divisors (938154713744).

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

531966442480 is a wasteful number, since it uses less digits than its factorization.

531966442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 531966442480 in words is "five hundred thirty-one billion, nine hundred sixty-six million, four hundred forty-two thousand, four hundred eighty".