5160384000 has 720 divisors, whose sum is σ = 20381302656. Its totient is φ = 1253376000.

The previous prime is 5160383989. The next prime is 5160384023. The reversal of 5160384000 is 4830615.

5160384000 is a `hidden beast` number, since 51 + 603 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 166463985 + ... + 166464015.

Almost surely, 2^5160384000 is an apocalyptic number.

5160384000 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 5160384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190651328).

5160384000 is an abundant number, since it is smaller than the sum of its proper divisors (15220918656).

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

5160384000 is a wasteful number, since it uses less digits than its factorization.

5160384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5160384000 is about 71835.8127955688. The cubic root of 5160384000 is about 1728.0673842036.

The spelling of 5160384000 in words is "five billion, one hundred sixty million, three hundred eighty-four thousand".