5163164629920 has 288 divisors, whose sum is σ = 19359342999360. Its totient is φ = 1242670878720.

The previous prime is 5163164629919. The next prime is 5163164629921. The reversal of 5163164629920 is 299264613615.

5163164629920 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 1 + 6 + 4 + 629 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5163164629919) and next prime (5163164629921).

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

It is not an unprimeable number, because it can be changed into a prime (5163164629921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029252 + ... + 3374268.

It is an arithmetic number, because the mean of its divisors is an integer number (67219940970).

Almost surely, 2^{5163164629920} 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 5163164629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679671499680).

5163164629920 is an abundant number, since it is smaller than the sum of its proper divisors (14196178369440).

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

5163164629920 is a wasteful number, since it uses less digits than its factorization.

5163164629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345188 (or 2345177 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 5163164629920 in words is "five trillion, one hundred sixty-three billion, one hundred sixty-four million, six hundred twenty-nine thousand, nine hundred twenty".