11580813808001 has 2 divisors, whose sum is σ = 11580813808002. Its totient is φ = 11580813808000.

The previous prime is 11580813807967. The next prime is 11580813808049. The reversal of 11580813808001 is 10080831808511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5969221353601 + 5611592454400 = 2443199^2 + 2368880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11580813808001 is a prime.

It is not a weakly prime, because it can be changed into another prime (11580813808061) 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, 5790406904000 + 5790406904001.

It is an arithmetic number, because the mean of its divisors is an integer number (5790406904001).

Almost surely, 2^{11580813808001} is an apocalyptic number.

It is an amenable number.

11580813808001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11580813808001 is an equidigital number, since it uses as much as digits as its factorization.

11580813808001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 44.

The spelling of 11580813808001 in words is "eleven trillion, five hundred eighty billion, eight hundred thirteen million, eight hundred eight thousand, one".