5279256480960 has 2688 divisors, whose sum is σ = 24977955225600. Its totient is φ = 989754163200.

The previous prime is 5279256480931. The next prime is 5279256480983. The reversal of 5279256480960 is 690846529725.

5279256480960 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 2 + 564 + 8 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 23256636367 + ... + 23256636593.

Almost surely, 2^{5279256480960} 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 5279256480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488977612800).

5279256480960 is an abundant number, since it is smaller than the sum of its proper divisors (19698698744640).

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

5279256480960 is a wasteful number, since it uses less digits than its factorization.

5279256480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5279256480960 in words is "five trillion, two hundred seventy-nine billion, two hundred fifty-six million, four hundred eighty thousand, nine hundred sixty".