31993310208000 has 1344 divisors, whose sum is σ = 119045555972928. Its totient is φ = 7602595430400.

The previous prime is 31993310207977. The next prime is 31993310208001. The reversal of 31993310208000 is 80201339913.

It is a self number, because there is not a number n which added to its sum of digits gives 31993310208000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31993310208001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18852863152 + ... + 18852864848.

Almost surely, 2^{31993310208000} is an apocalyptic number.

31993310208000 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 31993310208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59522777986464).

31993310208000 is an abundant number, since it is smaller than the sum of its proper divisors (87052245764928).

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

31993310208000 is a wasteful number, since it uses less digits than its factorization.

31993310208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 31993310208000 in words is "thirty-one trillion, nine hundred ninety-three billion, three hundred ten million, two hundred eight thousand".