5079813083136 has 624 divisors, whose sum is σ = 16634757222720. Its totient is φ = 1479475200000.

The previous prime is 5079813083041. The next prime is 5079813083221. The reversal of 5079813083136 is 6313803189705.

5079813083136 is a `hidden beast` number, since 507 + 98 + 1 + 30 + 8 + 3 + 13 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2951662756 + ... + 2951664476.

It is an arithmetic number, because the mean of its divisors is an integer number (26658264780).

Almost surely, 2^{5079813083136} 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 5079813083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317378611360).

5079813083136 is an abundant number, since it is smaller than the sum of its proper divisors (11554944139584).

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

5079813083136 is a wasteful number, since it uses less digits than its factorization.

5079813083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5079813083136 in words is "five trillion, seventy-nine billion, eight hundred thirteen million, eighty-three thousand, one hundred thirty-six".