5160914349984 has 288 divisors, whose sum is σ = 15433727662080. Its totient is φ = 1633707993600.

The previous prime is 5160914349967. The next prime is 5160914350027. The reversal of 5160914349984 is 4899434190615.

5160914349984 is a `hidden beast` number, since 5 + 1 + 60 + 9 + 1 + 4 + 3 + 499 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309195079 + ... + 309211769.

It is an arithmetic number, because the mean of its divisors is an integer number (53589332160).

Almost surely, 2^{5160914349984} 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 5160914349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716863831040).

5160914349984 is an abundant number, since it is smaller than the sum of its proper divisors (10272813312096).

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

5160914349984 is a wasteful number, since it uses less digits than its factorization.

5160914349984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17384 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 5160914349984 in words is "five trillion, one hundred sixty billion, nine hundred fourteen million, three hundred forty-nine thousand, nine hundred eighty-four".