31080467335680 has 560 divisors, whose sum is σ = 127690686630144. Its totient is φ = 7104103833600.

The previous prime is 31080467335553. The next prime is 31080467335739. The reversal of 31080467335680 is 8653376408013.

31080467335680 is a `hidden beast` number, since 3 + 1 + 0 + 8 + 0 + 4 + 6 + 73 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 11874105 + ... + 14253255.

Almost surely, 2^{31080467335680} is an apocalyptic number.

31080467335680 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 31080467335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63845343315072).

31080467335680 is an abundant number, since it is smaller than the sum of its proper divisors (96610219294464).

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

31080467335680 is an frugal number, since it uses more digits than its factorization.

31080467335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379199 (or 2379168 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 31080467335680 in words is "thirty-one trillion, eighty billion, four hundred sixty-seven million, three hundred thirty-five thousand, six hundred eighty".