2588855808001 has 2 divisors, whose sum is σ = 2588855808002. Its totient is φ = 2588855808000.

The previous prime is 2588855807981. The next prime is 2588855808031. The reversal of 2588855808001 is 1008085588852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2429296304400 + 159559503601 = 1558620^2 + 399449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2588855808001 - 2⁷ = 2588855807873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2588855808031) 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 as a sum of consecutive naturals, namely, 1294427904000 + 1294427904001.

It is an arithmetic number, because the mean of its divisors is an integer number (1294427904001).

Almost surely, 2^{2588855808001} is an apocalyptic number.

It is an amenable number.

2588855808001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2588855808001 is an equidigital number, since it uses as much as digits as its factorization.

2588855808001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192000, while the sum is 58.

The spelling of 2588855808001 in words is "two trillion, five hundred eighty-eight billion, eight hundred fifty-five million, eight hundred eight thousand, one".