10315716480 has 192 divisors, whose sum is σ = 36294635520. Its totient is φ = 2698874880.

The previous prime is 10315716443. The next prime is 10315716511. The reversal of 10315716480 is 8461751301.

10315716480 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 7 + 1 + 648 + 0 = 666.

10315716480 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 288385 + ... + 322175.

It is an arithmetic number, because the mean of its divisors is an integer number (189034560).

Almost surely, 2^10315716480 is an apocalyptic number.

10315716480 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 10315716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147317760).

10315716480 is an abundant number, since it is smaller than the sum of its proper divisors (25978919040).

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

10315716480 is a wasteful number, since it uses less digits than its factorization.

10315716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33869 (or 33854 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10315716480 in words is "ten billion, three hundred fifteen million, seven hundred sixteen thousand, four hundred eighty".