2585712889152 has 84 divisors (see below), whose sum is σ = 7412224193556. Its totient is φ = 861817651200.

The previous prime is 2585712889127. The next prime is 2585712889153. The reversal of 2585712889152 is 2519882175852.

2585712889152 is a `hidden beast` number, since 2 + 5 + 8 + 571 + 2 + 8 + 8 + 9 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1416252324096 + 1169460565056 = 1190064^2 + 1081416^2 .

It is a super-2 number, since 2×2585712889152² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2585712889152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585712889153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5641402 + ... + 6082502.

It is an arithmetic number, because the mean of its divisors is an integer number (88240764209).

Almost surely, 2^{2585712889152} is an apocalyptic number.

It is an amenable number.

2585712889152 is an abundant number, since it is smaller than the sum of its proper divisors (4826511304404).

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

2585712889152 is a wasteful number, since it uses less digits than its factorization.

2585712889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451296 (or 451283 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 63.

The spelling of 2585712889152 in words is "two trillion, five hundred eighty-five billion, seven hundred twelve million, eight hundred eighty-nine thousand, one hundred fifty-two".