31160243479680 has 1536 divisors, whose sum is σ = 135340989696000. Its totient is φ = 6737138343936.

The previous prime is 31160243479679. The next prime is 31160243479691. The reversal of 31160243479680 is 8697434206113.

31160243479680 is a `hidden beast` number, since 3 + 1 + 1 + 60 + 2 + 434 + 79 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15556785559 + ... + 15556787561.

It is an arithmetic number, because the mean of its divisors is an integer number (88112623500).

Almost surely, 2^{31160243479680} is an apocalyptic number.

31160243479680 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 31160243479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67670494848000).

31160243479680 is an abundant number, since it is smaller than the sum of its proper divisors (104180746216320).

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

31160243479680 is a wasteful number, since it uses less digits than its factorization.

31160243479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 31160243479680 in words is "thirty-one trillion, one hundred sixty billion, two hundred forty-three million, four hundred seventy-nine thousand, six hundred eighty".