5168793600 has 288 divisors, whose sum is σ = 18990972000. Its totient is φ = 1377976320.

The previous prime is 5168793583. The next prime is 5168793601. The reversal of 5168793600 is 63978615.

It is a happy number.

5168793600 is a `hidden beast` number, since 516 + 8 + 79 + 3 + 60 + 0 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (5168793601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380531 + ... + 1384269.

It is an arithmetic number, because the mean of its divisors is an integer number (65940875).

Almost surely, 2^5168793600 is an apocalyptic number.

5168793600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5168793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495486000).

5168793600 is an abundant number, since it is smaller than the sum of its proper divisors (13822178400).

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

5168793600 is a wasteful number, since it uses less digits than its factorization.

5168793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5168793600 is about 71894.3224462127. The cubic root of 5168793600 is about 1729.0055875372.

The spelling of 5168793600 in words is "five billion, one hundred sixty-eight million, seven hundred ninety-three thousand, six hundred".