31981876769220 has 384 divisors, whose sum is σ = 103819117043712. Its totient is φ = 7205552640000.

The previous prime is 31981876769203. The next prime is 31981876769231. The reversal of 31981876769220 is 2296767818913.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6459677745 + ... + 6459682695.

It is an arithmetic number, because the mean of its divisors is an integer number (270362283968).

Almost surely, 2^{31981876769220} is an apocalyptic number.

31981876769220 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 31981876769220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51909558521856).

31981876769220 is an abundant number, since it is smaller than the sum of its proper divisors (71837240274492).

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

31981876769220 is a wasteful number, since it uses less digits than its factorization.

31981876769220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 31981876769220 in words is "thirty-one trillion, nine hundred eighty-one billion, eight hundred seventy-six million, seven hundred sixty-nine thousand, two hundred twenty".