5168913120 has 288 divisors, whose sum is σ = 20417080320. Its totient is φ = 1166330880.

The previous prime is 5168913097. The next prime is 5168913131. The reversal of 5168913120 is 213198615.

5168913120 is a `hidden beast` number, since 516 + 8 + 9 + 13 + 120 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793075 + ... + 799565.

It is an arithmetic number, because the mean of its divisors is an integer number (70892640).

Almost surely, 2^5168913120 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 5168913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208540160).

5168913120 is an abundant number, since it is smaller than the sum of its proper divisors (15248167200).

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

5168913120 is a wasteful number, since it uses less digits than its factorization.

5168913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5168913120 is about 71895.1536614256. The cubic root of 5168913120 is about 1729.0189142546.

The spelling of 5168913120 in words is "five billion, one hundred sixty-eight million, nine hundred thirteen thousand, one hundred twenty".