5178351360 has 864 divisors, whose sum is σ = 21726411840. Its totient is φ = 1040449536.

The previous prime is 5178351359. The next prime is 5178351403. The reversal of 5178351360 is 631538715.

It is a happy number.

It is a super-2 number, since 2×5178351360² = 53630645615227699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 70936284 + ... + 70936356.

It is an arithmetic number, because the mean of its divisors is an integer number (25146310).

Almost surely, 2^5178351360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5178351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863205920).

5178351360 is an abundant number, since it is smaller than the sum of its proper divisors (16548060480).

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

5178351360 is a wasteful number, since it uses less digits than its factorization.

5178351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5178351360 is about 71960.7626418731. The cubic root of 5178351360 is about 1730.0706487682.

The spelling of 5178351360 in words is "five billion, one hundred seventy-eight million, three hundred fifty-one thousand, three hundred sixty".