5168641920 has 384 divisors, whose sum is σ = 18909404640. Its totient is φ = 1196163072.

The previous prime is 5168641909. The next prime is 5168641921. The reversal of 5168641920 is 291468615.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168641921) 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 47 ways as a sum of consecutive naturals, for example, 5515692 + ... + 5516628.

Almost surely, 2^5168641920 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 5168641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454702320).

5168641920 is an abundant number, since it is smaller than the sum of its proper divisors (13740762720).

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

5168641920 is a wasteful number, since it uses less digits than its factorization.

5168641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5168641920 is about 71893.2675568443. The cubic root of 5168641920 is about 1728.9886746201.

The spelling of 5168641920 in words is "five billion, one hundred sixty-eight million, six hundred forty-one thousand, nine hundred twenty".