531482879172672 has 1344 divisors, whose sum is σ = 1870852254695424. Its totient is φ = 141088580075520.

The previous prime is 531482879172647. The next prime is 531482879172697. The reversal of 531482879172672 is 276271978284135.

531482879172672 is a `hidden beast` number, since 5 + 3 + 1 + 482 + 8 + 7 + 9 + 1 + 72 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (531482879172647) and next prime (531482879172697).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 531482879172672.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92544465033 + ... + 92544470775.

It is an arithmetic number, because the mean of its divisors is an integer number (1392003165696).

Almost surely, 2^{531482879172672} 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 531482879172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935426127347712).

531482879172672 is an abundant number, since it is smaller than the sum of its proper divisors (1339369375522752).

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

531482879172672 is a wasteful number, since it uses less digits than its factorization.

531482879172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6163 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 531482879172672 in words is "five hundred thirty-one trillion, four hundred eighty-two billion, eight hundred seventy-nine million, one hundred seventy-two thousand, six hundred seventy-two".