2560866849960 has 128 divisors (see below), whose sum is σ = 7717595880960. Its totient is φ = 679791974400.

The previous prime is 2560866849949. The next prime is 2560866849971. The reversal of 2560866849960 is 699486680652.

It is an interprime number because it is at equal distance from previous prime (2560866849949) and next prime (2560866849971).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34390929 + ... + 34465311.

It is an arithmetic number, because the mean of its divisors is an integer number (60293717820).

Almost surely, 2^{2560866849960} is an apocalyptic number.

2560866849960 is a gapful number since it is divisible by the number (20) 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 2560866849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858797940480).

2560866849960 is an abundant number, since it is smaller than the sum of its proper divisors (5156729031000).

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

2560866849960 is a wasteful number, since it uses less digits than its factorization.

2560866849960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75699 (or 75695 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 2560866849960 in words is "two trillion, five hundred sixty billion, eight hundred sixty-six million, eight hundred forty-nine thousand, nine hundred sixty".