5186659680 has 288 divisors, whose sum is σ = 18114969600. Its totient is φ = 1351074816.

The previous prime is 5186659679. The next prime is 5186659703. The reversal of 5186659680 is 869566815.

It is a happy number.

5186659680 is a `hidden beast` number, since 518 + 6 + 65 + 9 + 68 + 0 = 666.

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

It is a super-2 number, since 2×5186659680² = 53802877272275404800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14447341 + ... + 14447699.

It is an arithmetic number, because the mean of its divisors is an integer number (62899200).

Almost surely, 2^5186659680 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 5186659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

5186659680 is an abundant number, since it is smaller than the sum of its proper divisors (12928309920).

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

5186659680 is a wasteful number, since it uses less digits than its factorization.

5186659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5186659680 is about 72018.4676315735. The cubic root of 5186659680 is about 1730.9954154268.

The spelling of 5186659680 in words is "five billion, one hundred eighty-six million, six hundred fifty-nine thousand, six hundred eighty".