10317457920 has 640 divisors, whose sum is σ = 41860177920. Its totient is φ = 2105671680.

The previous prime is 10317457889. The next prime is 10317457961. The reversal of 10317457920 is 2975471301.

10317457920 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 (640).

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 63 ways as a sum of consecutive naturals, for example, 43169161 + ... + 43169399.

It is an arithmetic number, because the mean of its divisors is an integer number (65406528).

Almost surely, 2^10317457920 is an apocalyptic number.

10317457920 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 10317457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930088960).

10317457920 is an abundant number, since it is smaller than the sum of its proper divisors (31542720000).

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

10317457920 is a wasteful number, since it uses less digits than its factorization.

10317457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 10317457920 in words is "ten billion, three hundred seventeen million, four hundred fifty-seven thousand, nine hundred twenty".