2560800062500 has 189 divisors, whose sum is σ = 5790637734357. Its totient is φ = 990874800000.

The previous prime is 2560800062477. The next prime is 2560800062539. The reversal of 2560800062500 is 52600080652.

The square root of 2560800062500 is 1600250.

It is a perfect power (a square), and thus also a powerful number.

2560800062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 31 ways, for example, as 2370780790756 + 190019271744 = 1539734^2 + 435912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14802312414 + ... + 14802312586.

Almost surely, 2^{2560800062500} is an apocalyptic number.

2560800062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2560800062500 is the 1600250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560800062500

2560800062500 is an abundant number, since it is smaller than the sum of its proper divisors (3229837671857).

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

2560800062500 is an frugal number, since it uses more digits than its factorization.

2560800062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 2560800062500 in words is "two trillion, five hundred sixty billion, eight hundred million, sixty-two thousand, five hundred".