31968382321020 has 48 divisors (see below), whose sum is σ = 89608871600640. Its totient is φ = 8515625656896.

The previous prime is 31968382321003. The next prime is 31968382321039. The reversal of 31968382321020 is 2012328386913.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289828632 + ... + 289938911.

It is an arithmetic number, because the mean of its divisors is an integer number (1866851491680).

Almost surely, 2^{31968382321020} is an apocalyptic number.

31968382321020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31968382321020 is an abundant number, since it is smaller than the sum of its proper divisors (57640489279620).

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

31968382321020 is a wasteful number, since it uses less digits than its factorization.

31968382321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579768474 (or 579768472 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 31968382321020 in words is "thirty-one trillion, nine hundred sixty-eight billion, three hundred eighty-two million, three hundred twenty-one thousand, twenty".