10320400160 has 96 divisors (see below), whose sum is σ = 27887473152. Its totient is φ = 3535580160.

The previous prime is 10320400159. The next prime is 10320400169. The reversal of 10320400160 is 6100402301.

It is not an unprimeable number, because it can be changed into a prime (10320400169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770050 + ... + 1775870.

It is an arithmetic number, because the mean of its divisors is an integer number (290494512).

Almost surely, 2^10320400160 is an apocalyptic number.

10320400160 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 10320400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943736576).

10320400160 is an abundant number, since it is smaller than the sum of its proper divisors (17567072992).

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

10320400160 is a wasteful number, since it uses less digits than its factorization.

10320400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10320400160 its reverse (6100402301), we get a palindrome (16420802461).

The spelling of 10320400160 in words is "ten billion, three hundred twenty million, four hundred thousand, one hundred sixty".