2560763539600 has 720 divisors, whose sum is σ = 8010623537280. Its totient is φ = 780453273600.

The previous prime is 2560763539553. The next prime is 2560763539627. The reversal of 2560763539600 is 69353670652.

It is a happy 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 143 ways as a sum of consecutive naturals, for example, 453952780 + ... + 453958420.

It is an arithmetic number, because the mean of its divisors is an integer number (11125866024).

Almost surely, 2^{2560763539600} is an apocalyptic number.

2560763539600 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 2560763539600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005311768640).

2560763539600 is an abundant number, since it is smaller than the sum of its proper divisors (5449859997680).

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

2560763539600 is a wasteful number, since it uses less digits than its factorization.

2560763539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 52.

The spelling of 2560763539600 in words is "two trillion, five hundred sixty billion, seven hundred sixty-three million, five hundred thirty-nine thousand, six hundred".