10329068160 has 320 divisors, whose sum is σ = 38495191680. Its totient is φ = 2634356736.

The previous prime is 10329068153. The next prime is 10329068203. The reversal of 10329068160 is 6186092301.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1187989 + ... + 1196651.

It is an arithmetic number, because the mean of its divisors is an integer number (120297474).

Almost surely, 2^10329068160 is an apocalyptic number.

10329068160 is a gapful number since it is divisible by the number (10) 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 10329068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247595840).

10329068160 is an abundant number, since it is smaller than the sum of its proper divisors (28166123520).

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

10329068160 is an equidigital number, since it uses as much as digits as its factorization.

10329068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10329068160 in words is "ten billion, three hundred twenty-nine million, sixty-eight thousand, one hundred sixty".