10327161408 has 112 divisors (see below), whose sum is σ = 27842967936. Its totient is φ = 3377295360.

The previous prime is 10327161331. The next prime is 10327161419. The reversal of 10327161408 is 80416172301.

10327161408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5890260 + ... + 5892012.

It is an arithmetic number, because the mean of its divisors is an integer number (248597928).

Almost surely, 2^10327161408 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 10327161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13921483968).

10327161408 is an abundant number, since it is smaller than the sum of its proper divisors (17515806528).

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

10327161408 is a wasteful number, since it uses less digits than its factorization.

10327161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10327161408 in words is "ten billion, three hundred twenty-seven million, one hundred sixty-one thousand, four hundred eight".