5117549310720 has 1440 divisors, whose sum is σ = 22924441774080. Its totient is φ = 1058989178880.

The previous prime is 5117549310703. The next prime is 5117549310791. The reversal of 5117549310720 is 270139457115.

5117549310720 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 549 + 31 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 2147522649 + ... + 2147525031.

It is an arithmetic number, because the mean of its divisors is an integer number (15919751232).

Almost surely, 2^{5117549310720} 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 5117549310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462220887040).

5117549310720 is an abundant number, since it is smaller than the sum of its proper divisors (17806892463360).

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

5117549310720 is a wasteful number, since it uses less digits than its factorization.

5117549310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5117549310720 in words is "five trillion, one hundred seventeen billion, five hundred forty-nine million, three hundred ten thousand, seven hundred twenty".