531324291680 has 864 divisors, whose sum is σ = 1688120082432. Its totient is φ = 154430115840.

The previous prime is 531324291647. The next prime is 531324291713. The reversal of 531324291680 is 86192423135.

It is an interprime number because it is at equal distance from previous prime (531324291647) and next prime (531324291713).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4183655777 + ... + 4183655903.

It is an arithmetic number, because the mean of its divisors is an integer number (1953842688).

Almost surely, 2^531324291680 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 531324291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844060041216).

531324291680 is an abundant number, since it is smaller than the sum of its proper divisors (1156795790752).

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

531324291680 is a wasteful number, since it uses less digits than its factorization.

531324291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 531324291680 in words is "five hundred thirty-one billion, three hundred twenty-four million, two hundred ninety-one thousand, six hundred eighty".