5187168000 has 864 divisors, whose sum is σ = 22284767232. Its totient is φ = 1133568000.

The previous prime is 5187167987. The next prime is 5187168011. The reversal of 5187168000 is 8617815.

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 95 ways as a sum of consecutive naturals, for example, 62495959 + ... + 62496041.

Almost surely, 2^5187168000 is an apocalyptic number.

5187168000 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 5187168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142383616).

5187168000 is an abundant number, since it is smaller than the sum of its proper divisors (17097599232).

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

5187168000 is a wasteful number, since it uses less digits than its factorization.

5187168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 5187168000 is about 72021.9966399155. The cubic root of 5187168000 is about 1731.0519624725.

The spelling of 5187168000 in words is "five billion, one hundred eighty-seven million, one hundred sixty-eight thousand".