5160116551680 has 288 divisors, whose sum is σ = 18347073998400. Its totient is φ = 1376026361856.

The previous prime is 5160116551657. The next prime is 5160116551739. The reversal of 5160116551680 is 861556110615.

5160116551680 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 1 + 16 + 551 + 6 + 80 = 666.

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

It is a super-2 number, since 2×5160116551680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17548911 + ... + 17840529.

It is an arithmetic number, because the mean of its divisors is an integer number (63705118050).

Almost surely, 2^{5160116551680} 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 5160116551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173536999200).

5160116551680 is an abundant number, since it is smaller than the sum of its proper divisors (13186957446720).

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

5160116551680 is an frugal number, since it uses more digits than its factorization.

5160116551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291667 (or 291629 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 5160116551680 in words is "five trillion, one hundred sixty billion, one hundred sixteen million, five hundred fifty-one thousand, six hundred eighty".