5117356185600 has 576 divisors, whose sum is σ = 17682150769920. Its totient is φ = 1303127654400.

The previous prime is 5117356185587. The next prime is 5117356185607. The reversal of 5117356185600 is 65816537115.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5117356185600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117356185607) by changing a digit.

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, 4136908182 + ... + 4136909418.

It is an arithmetic number, because the mean of its divisors is an integer number (30698178420).

Almost surely, 2^{5117356185600} is an apocalyptic number.

5117356185600 is a gapful number since it is divisible by the number (50) 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 5117356185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841075384960).

5117356185600 is an abundant number, since it is smaller than the sum of its proper divisors (12564794584320).

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

5117356185600 is a wasteful number, since it uses less digits than its factorization.

5117356185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 5117356185600 in words is "five trillion, one hundred seventeen billion, three hundred fifty-six million, one hundred eighty-five thousand, six hundred".