2585249616768 has 1024 divisors, whose sum is σ = 9136772628480. Its totient is φ = 629365800960.

The previous prime is 2585249616707. The next prime is 2585249616797. The reversal of 2585249616768 is 8676169425852.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2124280096 + ... + 2124281312.

It is an arithmetic number, because the mean of its divisors is an integer number (8922629520).

Almost surely, 2^{2585249616768} is an apocalyptic number.

2585249616768 is a gapful number since it is divisible by the number (28) 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 2585249616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568386314240).

2585249616768 is an abundant number, since it is smaller than the sum of its proper divisors (6551523011712).

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

2585249616768 is a wasteful number, since it uses less digits than its factorization.

2585249616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1363 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 69.

The spelling of 2585249616768 in words is "two trillion, five hundred eighty-five billion, two hundred forty-nine million, six hundred sixteen thousand, seven hundred sixty-eight".