31526480960 has 448 divisors, whose sum is σ = 89424808704. Its totient is φ = 10479206400.

The previous prime is 31526480959. The next prime is 31526480969. The reversal of 31526480960 is 6908462513.

It is not an unprimeable number, because it can be changed into a prime (31526480969) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 240660095 + ... + 240660225.

It is an arithmetic number, because the mean of its divisors is an integer number (199608948).

Almost surely, 2^31526480960 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 31526480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44712404352).

31526480960 is an abundant number, since it is smaller than the sum of its proper divisors (57898327744).

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

31526480960 is a wasteful number, since it uses less digits than its factorization.

31526480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 31526480960 in words is "thirty-one billion, five hundred twenty-six million, four hundred eighty thousand, nine hundred sixty".