5279934250080 has 576 divisors, whose sum is σ = 22374755020800. Its totient is φ = 1106441441280.

The previous prime is 5279934250051. The next prime is 5279934250103. The reversal of 5279934250080 is 800524399725.

5279934250080 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 93 + 42 + 500 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5279934249999 and 5279934250026.

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, 5492466 + ... + 6381774.

It is an arithmetic number, because the mean of its divisors is an integer number (38845060800).

Almost surely, 2^{5279934250080} 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 5279934250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187377510400).

5279934250080 is an abundant number, since it is smaller than the sum of its proper divisors (17094820770720).

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

5279934250080 is a wasteful number, since it uses less digits than its factorization.

5279934250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889387 (or 889376 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5279934250080 in words is "five trillion, two hundred seventy-nine billion, nine hundred thirty-four million, two hundred fifty thousand, eighty".