531988254720 has 1248 divisors, whose sum is σ = 2086589756160. Its totient is φ = 124523642880.

The previous prime is 531988254719. The next prime is 531988254731. The reversal of 531988254720 is 27452889135.

531988254720 is a `hidden beast` number, since 5 + 3 + 1 + 98 + 8 + 2 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7492792285 + ... + 7492792355.

It is an arithmetic number, because the mean of its divisors is an integer number (1671946920).

Almost surely, 2^531988254720 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 531988254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043294878080).

531988254720 is an abundant number, since it is smaller than the sum of its proper divisors (1554601501440).

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

531988254720 is a wasteful number, since it uses less digits than its factorization.

531988254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 531988254720 in words is "five hundred thirty-one billion, nine hundred eighty-eight million, two hundred fifty-four thousand, seven hundred twenty".