5179271680 has 320 divisors, whose sum is σ = 14849049600. Its totient is φ = 1710489600.

The previous prime is 5179271651. The next prime is 5179271687. The reversal of 5179271680 is 861729715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 5179271680.

It is not an unprimeable number, because it can be changed into a prime (5179271687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14840146 + ... + 14840494.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 2^5179271680 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 5179271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424524800).

5179271680 is an abundant number, since it is smaller than the sum of its proper divisors (9669777920).

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

5179271680 is a wasteful number, since it uses less digits than its factorization.

5179271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The square root of 5179271680 is about 71967.1569537105. The cubic root of 5179271680 is about 1730.1731346878.

The spelling of 5179271680 in words is "five billion, one hundred seventy-nine million, two hundred seventy-one thousand, six hundred eighty".