5317113507840 has 520 divisors, whose sum is σ = 20063813217360. Its totient is φ = 1343262818304.

The previous prime is 5317113507829. The next prime is 5317113507869. The reversal of 5317113507840 is 487053117135.

5317113507840 is a `hidden beast` number, since 5 + 31 + 71 + 1 + 3 + 507 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31434372 + ... + 31603068.

Almost surely, 2^{5317113507840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317113507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031906608680).

5317113507840 is an abundant number, since it is smaller than the sum of its proper divisors (14746699709520).

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

5317113507840 is a wasteful number, since it uses less digits than its factorization.

5317113507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168757 (or 168726 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5317113507840 in words is "five trillion, three hundred seventeen billion, one hundred thirteen million, five hundred seven thousand, eight hundred forty".