31080687113680 has 160 divisors (see below), whose sum is σ = 75448989660960. Its totient is φ = 11895334133760.

The previous prime is 31080687113677. The next prime is 31080687113743. The reversal of 31080687113680 is 8631178608013.

It can be written as a sum of positive squares in 16 ways, for example, as 2755214893456 + 28325472220224 = 1659884^2 + 5322168^2 .

It is a super-2 number, since 2×31080687113680² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 945576286 + ... + 945609154.

It is an arithmetic number, because the mean of its divisors is an integer number (471556185381).

Almost surely, 2^{31080687113680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31080687113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37724494830480).

31080687113680 is an abundant number, since it is smaller than the sum of its proper divisors (44368302547280).

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

31080687113680 is a wasteful number, since it uses less digits than its factorization.

31080687113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38217 (or 38211 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 31080687113680 in words is "thirty-one trillion, eighty billion, six hundred eighty-seven million, one hundred thirteen thousand, six hundred eighty".