5170540320000 has 1080 divisors, whose sum is σ = 20395785009600. Its totient is φ = 1248952320000.

The previous prime is 5170540319993. The next prime is 5170540320091. The reversal of 5170540320000 is 230450715.

It is a happy number.

5170540320000 is a `hidden beast` number, since 51 + 7 + 0 + 5 + 403 + 200 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 7112159637 + ... + 7112160363.

It is an arithmetic number, because the mean of its divisors is an integer number (18884986120).

Almost surely, 2^{5170540320000} is an apocalyptic number.

5170540320000 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 5170540320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197892504800).

5170540320000 is an abundant number, since it is smaller than the sum of its proper divisors (15225244689600).

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

5170540320000 is a wasteful number, since it uses less digits than its factorization.

5170540320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 5170540320000 its reverse (230450715), we get a palindrome (5170770770715).

The spelling of 5170540320000 in words is "five trillion, one hundred seventy billion, five hundred forty million, three hundred twenty thousand".