5168059820640 has 288 divisors, whose sum is σ = 17695007759520. Its totient is φ = 1373546668032.

The previous prime is 5168059820563. The next prime is 5168059820653. The reversal of 5168059820640 is 460289508615.

5168059820640 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 0 + 598 + 2 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 549964422 + ... + 549973818.

It is an arithmetic number, because the mean of its divisors is an integer number (61440999165).

Almost surely, 2^{5168059820640} 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 5168059820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847503879760).

5168059820640 is an abundant number, since it is smaller than the sum of its proper divisors (12526947938880).

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

5168059820640 is a wasteful number, since it uses less digits than its factorization.

5168059820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5168059820640 in words is "five trillion, one hundred sixty-eight billion, fifty-nine million, eight hundred twenty thousand, six hundred forty".