531203287680 has 672 divisors, whose sum is σ = 2062023873660. Its totient is φ = 130738323456.

The previous prime is 531203287639. The next prime is 531203287751. The reversal of 531203287680 is 86782302135.

531203287680 is a `hidden beast` number, since 5 + 312 + 0 + 328 + 7 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55533750336 + 475669537344 = 235656^2 + 689688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78845272 + ... + 78852008.

Almost surely, 2^531203287680 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 531203287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031011936830).

531203287680 is an abundant number, since it is smaller than the sum of its proper divisors (1530820585980).

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

531203287680 is an equidigital number, since it uses as much as digits as its factorization.

531203287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 531203287680 in words is "five hundred thirty-one billion, two hundred three million, two hundred eighty-seven thousand, six hundred eighty".