5102265168 has 1120 divisors, whose sum is σ = 21858600960. Its totient is φ = 1108546560.

The previous prime is 5102265167. The next prime is 5102265197. The reversal of 5102265168 is 8615622015.

5102265168 is a `hidden beast` number, since 510 + 22 + 65 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102265167) 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 223 ways as a sum of consecutive naturals, for example, 221837605 + ... + 221837627.

It is an arithmetic number, because the mean of its divisors is an integer number (19516608).

Almost surely, 2^5102265168 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 5102265168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929300480).

5102265168 is an abundant number, since it is smaller than the sum of its proper divisors (16756335792).

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

5102265168 is a wasteful number, since it uses less digits than its factorization.

5102265168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5102265168 is about 71430.1418730216. The cubic root of 5102265168 is about 1721.5554219011. Note that the first 3 decimals are identical.

The spelling of 5102265168 in words is "five billion, one hundred two million, two hundred sixty-five thousand, one hundred sixty-eight".