531941479680 has 432 divisors, whose sum is σ = 1853173304640. Its totient is φ = 129975386112.

The previous prime is 531941479673. The next prime is 531941479723. The reversal of 531941479680 is 86974149135.

It is a happy number.

531941479680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 531941479680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90202492 + ... + 90208388.

It is an arithmetic number, because the mean of its divisors is an integer number (4289753020).

Almost surely, 2^531941479680 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 531941479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926586652320).

531941479680 is an abundant number, since it is smaller than the sum of its proper divisors (1321231824960).

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

531941479680 is a wasteful number, since it uses less digits than its factorization.

531941479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 531941479680 in words is "five hundred thirty-one billion, nine hundred forty-one million, four hundred seventy-nine thousand, six hundred eighty".