5158717200 has 960 divisors, whose sum is σ = 23506828800. Its totient is φ = 1045094400.

The previous prime is 5158717139. The next prime is 5158717217. The reversal of 5158717200 is 27178515.

5158717200 is a `hidden beast` number, since 5 + 1 + 587 + 1 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×5158717200² = 53224726299151680000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28501110 + ... + 28501290.

It is an arithmetic number, because the mean of its divisors is an integer number (24486280).

Almost surely, 2^5158717200 is an apocalyptic number.

5158717200 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 5158717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753414400).

5158717200 is an abundant number, since it is smaller than the sum of its proper divisors (18348111600).

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

5158717200 is a wasteful number, since it uses less digits than its factorization.

5158717200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5158717200 is about 71824.2104028997. The cubic root of 5158717200 is about 1727.8813093631.

The spelling of 5158717200 in words is "five billion, one hundred fifty-eight million, seven hundred seventeen thousand, two hundred".