5168217600 has 1440 divisors, whose sum is σ = 24934029120. Its totient is φ = 990904320.

The previous prime is 5168217589. The next prime is 5168217611. The reversal of 5168217600 is 67128615.

5168217600 is a `hidden beast` number, since 516 + 82 + 1 + 7 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5168217589) and next prime (5168217611).

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 178214386 + ... + 178214414.

It is an arithmetic number, because the mean of its divisors is an integer number (17315298).

Almost surely, 2^5168217600 is an apocalyptic number.

5168217600 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 5168217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467014560).

5168217600 is an abundant number, since it is smaller than the sum of its proper divisors (19765811520).

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

5168217600 is a wasteful number, since it uses less digits than its factorization.

5168217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5168217600 is about 71890.3164549997. The cubic root of 5168217600 is about 1728.9413595121.

The spelling of 5168217600 in words is "five billion, one hundred sixty-eight million, two hundred seventeen thousand, six hundred".