31068888208680 has 256 divisors, whose sum is σ = 109998461583360. Its totient is φ = 6869857766400.

The previous prime is 31068888208637. The next prime is 31068888208837. The reversal of 31068888208680 is 8680288886013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71157997 + ... + 71593283.

It is an arithmetic number, because the mean of its divisors is an integer number (429681490560).

Almost surely, 2^{31068888208680} is an apocalyptic number.

31068888208680 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 31068888208680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54999230791680).

31068888208680 is an abundant number, since it is smaller than the sum of its proper divisors (78929573374680).

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

31068888208680 is a wasteful number, since it uses less digits than its factorization.

31068888208680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438080 (or 438076 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 66.

The spelling of 31068888208680 in words is "thirty-one trillion, sixty-eight billion, eight hundred eighty-eight million, two hundred eight thousand, six hundred eighty".