10005167120 has 80 divisors (see below), whose sum is σ = 25068187200. Its totient is φ = 3691740672.

The previous prime is 10005167119. The next prime is 10005167173. The reversal of 10005167120 is 2176150001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438831 + ... + 2442929.

It is an arithmetic number, because the mean of its divisors is an integer number (313352340).

Almost surely, 2^10005167120 is an apocalyptic number.

10005167120 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 10005167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534093600).

10005167120 is an abundant number, since it is smaller than the sum of its proper divisors (15063020080).

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

10005167120 is a wasteful number, since it uses less digits than its factorization.

10005167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 10005167120 in words is "ten billion, five million, one hundred sixty-seven thousand, one hundred twenty".