31982985216000 has 3264 divisors, whose sum is σ = 148808911829760. Its totient is φ = 6718331289600.

The previous prime is 31982985215983. The next prime is 31982985216029. The reversal of 31982985216000 is 61258928913.

31982985216000 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 2 + 9 + 8 + 5 + 21 + 600 + 0 = 666.

It is a super-2 number, since 2×31982985216000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 140894207887 + ... + 140894208113.

Almost surely, 2^{31982985216000} is an apocalyptic number.

31982985216000 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 31982985216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74404455914880).

31982985216000 is an abundant number, since it is smaller than the sum of its proper divisors (116825926613760).

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

31982985216000 is an equidigital number, since it uses as much as digits as its factorization.

31982985216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 31982985216000 in words is "thirty-one trillion, nine hundred eighty-two billion, nine hundred eighty-five million, two hundred sixteen thousand".