10171256320 has 160 divisors (see below), whose sum is σ = 26005478400. Its totient is φ = 3804143616.

The previous prime is 10171256267. The next prime is 10171256353. The reversal of 10171256320 is 2365217101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841237 + ... + 3843883.

It is an arithmetic number, because the mean of its divisors is an integer number (162534240).

Almost surely, 2^10171256320 is an apocalyptic number.

10171256320 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 10171256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002739200).

10171256320 is an abundant number, since it is smaller than the sum of its proper divisors (15834222080).

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

10171256320 is an equidigital number, since it uses as much as digits as its factorization.

10171256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10171256320 in words is "ten billion, one hundred seventy-one million, two hundred fifty-six thousand, three hundred twenty".