2559518560320 has 112 divisors (see below), whose sum is σ = 8162271557568. Its totient is φ = 679531448320.

The previous prime is 2559518560297. The next prime is 2559518560349. The reversal of 2559518560320 is 230658159552.

It is a super-2 number, since 2×2559518560320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5654691 + ... + 6090530.

Almost surely, 2^{2559518560320} is an apocalyptic number.

2559518560320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2559518560320 is an abundant number, since it is smaller than the sum of its proper divisors (5602752997248).

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

2559518560320 is a wasteful number, since it uses less digits than its factorization.

2559518560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745468 (or 11745458 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 2559518560320 in words is "two trillion, five hundred fifty-nine billion, five hundred eighteen million, five hundred sixty thousand, three hundred twenty".