31998916201680 has 480 divisors, whose sum is σ = 115827021453312. Its totient is φ = 7893672652800.

The previous prime is 31998916201633. The next prime is 31998916201697. The reversal of 31998916201680 is 8610261989913.

31998916201680 is a `hidden beast` number, since 319 + 9 + 89 + 162 + 0 + 1 + 6 + 80 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 832137334 + ... + 832175786.

Almost surely, 2^{31998916201680} is an apocalyptic number.

31998916201680 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 31998916201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57913510726656).

31998916201680 is an abundant number, since it is smaller than the sum of its proper divisors (83828105251632).

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

31998916201680 is a wasteful number, since it uses less digits than its factorization.

31998916201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40147 (or 40138 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 31998916201680 in words is "thirty-one trillion, nine hundred ninety-eight billion, nine hundred sixteen million, two hundred one thousand, six hundred eighty".