31029097471680 has 1344 divisors, whose sum is σ = 125327868825600. Its totient is φ = 6366347919360.

The previous prime is 31029097471663. The next prime is 31029097471711. The reversal of 31029097471680 is 8617479092013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 31029097471680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23382891177 + ... + 23382892503.

It is an arithmetic number, because the mean of its divisors is an integer number (93249902400).

Almost surely, 2^{31029097471680} is an apocalyptic number.

31029097471680 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 31029097471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62663934412800).

31029097471680 is an abundant number, since it is smaller than the sum of its proper divisors (94298771353920).

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

31029097471680 is a wasteful number, since it uses less digits than its factorization.

31029097471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 31029097471680 in words is "thirty-one trillion, twenty-nine billion, ninety-seven million, four hundred seventy-one thousand, six hundred eighty".