5079360000 has 800 divisors, whose sum is σ = 20402319168. Its totient is φ = 1105920000.

The previous prime is 5079359969. The next prime is 5079360019. The reversal of 5079360000 is 639705.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5079360000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137279982 + ... + 137280018.

Almost surely, 2^5079360000 is an apocalyptic number.

5079360000 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 5079360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201159584).

5079360000 is an abundant number, since it is smaller than the sum of its proper divisors (15322959168).

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

5079360000 is a wasteful number, since it uses less digits than its factorization.

5079360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5079360000 is about 71269.6288751387. The cubic root of 5079360000 is about 1718.9754128602.

Adding to 5079360000 its reverse (639705), we get a palindrome (5079999705).

The spelling of 5079360000 in words is "five billion, seventy-nine million, three hundred sixty thousand".