31999968000000 has 5376 divisors, whose sum is σ = 163388408601600. Its totient is φ = 5971968000000.

The previous prime is 31999967999981. The next prime is 31999968000041. The reversal of 31999968000000 is 86999913.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 447 ways as a sum of consecutive naturals, for example, 864863999982 + ... + 864864000018.

It is an arithmetic number, because the mean of its divisors is an integer number (30392189100).

Almost surely, 2^{31999968000000} is an apocalyptic number.

31999968000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31999968000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81694204300800).

31999968000000 is an abundant number, since it is smaller than the sum of its proper divisors (131388440601600).

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

31999968000000 is an equidigital number, since it uses as much as digits as its factorization.

31999968000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 31999968000000 in words is "thirty-one trillion, nine hundred ninety-nine billion, nine hundred sixty-eight million", and thus it is an aban number.