10317964800 has 480 divisors, whose sum is σ = 40064935680. Its totient is φ = 2307686400.

The previous prime is 10317964747. The next prime is 10317964817. The reversal of 10317964800 is 846971301.

10317964800 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 (480).

It is a super-2 number, since 2×10317964800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5490261 + ... + 5492139.

It is an arithmetic number, because the mean of its divisors is an integer number (83468616).

Almost surely, 2^10317964800 is an apocalyptic number.

10317964800 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 10317964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032467840).

10317964800 is an abundant number, since it is smaller than the sum of its proper divisors (29746970880).

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

10317964800 is a wasteful number, since it uses less digits than its factorization.

10317964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10317964800 in words is "ten billion, three hundred seventeen million, nine hundred sixty-four thousand, eight hundred".