2585921286400 has 81 divisors (see below), whose sum is σ = 6400877669823. Its totient is φ = 1034317056000.

The previous prime is 2585921286397. The next prime is 2585921286407. The reversal of 2585921286400 is 46821295852.

The square root of 2585921286400 is 1608080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 239191421184 + 2346729865216 = 489072^2 + 1531904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585921286407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 128636350 + ... + 128656450.

Almost surely, 2^{2585921286400} is an apocalyptic number.

2585921286400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2585921286400 is the 1608080-th square number.

It is an amenable number.

2585921286400 is an abundant number, since it is smaller than the sum of its proper divisors (3814956383423).

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

2585921286400 is an frugal number, since it uses more digits than its factorization.

2585921286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40228 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 2585921286400 in words is "two trillion, five hundred eighty-five billion, nine hundred twenty-one million, two hundred eighty-six thousand, four hundred".