5081671680 has 192 divisors, whose sum is σ = 16461506880. Its totient is φ = 1338114048.

The previous prime is 5081671667. The next prime is 5081671687. The reversal of 5081671680 is 861761805.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5081671687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2548764 + ... + 2550756.

It is an arithmetic number, because the mean of its divisors is an integer number (85737015).

Almost surely, 2^5081671680 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 5081671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230753440).

5081671680 is an abundant number, since it is smaller than the sum of its proper divisors (11379835200).

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

5081671680 is a wasteful number, since it uses less digits than its factorization.

5081671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 5081671680 is about 71285.8448782085. The cubic root of 5081671680 is about 1719.2361490163.

The spelling of 5081671680 in words is "five billion, eighty-one million, six hundred seventy-one thousand, six hundred eighty".