31985664000 has 512 divisors, whose sum is σ = 112866998400. Its totient is φ = 8021606400.

The previous prime is 31985663977. The next prime is 31985664037. The reversal of 31985664000 is 46658913.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233471932 + ... + 233472068.

Almost surely, 2^31985664000 is an apocalyptic number.

31985664000 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 31985664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56433499200).

31985664000 is an abundant number, since it is smaller than the sum of its proper divisors (80881334400).

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

31985664000 is an equidigital number, since it uses as much as digits as its factorization.

31985664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 31985664000 in words is "thirty-one billion, nine hundred eighty-five million, six hundred sixty-four thousand".