10174495120 has 80 divisors (see below), whose sum is σ = 24444149760. Its totient is φ = 3934425600.

The previous prime is 10174495103. The next prime is 10174495139. The reversal of 10174495120 is 2159447101.

10174495120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3646686 + ... + 3649474.

It is an arithmetic number, because the mean of its divisors is an integer number (305551872).

Almost surely, 2^10174495120 is an apocalyptic number.

10174495120 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 10174495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222074880).

10174495120 is an abundant number, since it is smaller than the sum of its proper divisors (14269654640).

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

10174495120 is a wasteful number, since it uses less digits than its factorization.

10174495120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 10174495120 in words is "ten billion, one hundred seventy-four million, four hundred ninety-five thousand, one hundred twenty".