82317531403872 has 72 divisors (see below), whose sum is σ = 234122912838360. Its totient is φ = 27435375475200.

The previous prime is 82317531403847. The next prime is 82317531404027. The reversal of 82317531403872 is 27830413571328.

82317531403872 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 7 + 531 + 4 + 0 + 38 + 72 = 666.

82317531403872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17717629 + ... + 21875772.

It is an arithmetic number, because the mean of its divisors is an integer number (3251707122755).

Almost surely, 2^{82317531403872} is an apocalyptic number.

It is an amenable number.

82317531403872 is an abundant number, since it is smaller than the sum of its proper divisors (151805381434488).

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

82317531403872 is a wasteful number, since it uses less digits than its factorization.

82317531403872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39600636 (or 39600625 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82317531403872 in words is "eighty-two trillion, three hundred seventeen billion, five hundred thirty-one million, four hundred three thousand, eight hundred seventy-two".