2585005861536 has 432 divisors, whose sum is σ = 8938995287040. Its totient is φ = 705691284480.

The previous prime is 2585005861517. The next prime is 2585005861547. The reversal of 2585005861536 is 6351685005852.

2585005861536 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 0 + 0 + 586 + 1 + 53 + 6 = 666.

2585005861536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34522890 + ... + 34597686.

It is an arithmetic number, because the mean of its divisors is an integer number (20692118720).

Almost surely, 2^{2585005861536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585005861536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469497643520).

2585005861536 is an abundant number, since it is smaller than the sum of its proper divisors (6353989425504).

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

2585005861536 is a wasteful number, since it uses less digits than its factorization.

2585005861536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74937 (or 74919 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 2585005861536 in words is "two trillion, five hundred eighty-five billion, five million, eight hundred sixty-one thousand, five hundred thirty-six".