11890582801 has 2 divisors, whose sum is σ = 11890582802. Its totient is φ = 11890582800.

The previous prime is 11890582703. The next prime is 11890582819. The reversal of 11890582801 is 10828509811.

11890582801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11030040576 + 860542225 = 105024^2 + 29335^2 .

It is a cyclic number.

It is not a de Polignac number, because 11890582801 - 2¹⁵ = 11890550033 is a prime.

It is not a weakly prime, because it can be changed into another prime (11890582601) 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, 5945291400 + 5945291401.

It is an arithmetic number, because the mean of its divisors is an integer number (5945291401).

Almost surely, 2^11890582801 is an apocalyptic number.

It is an amenable number.

11890582801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11890582801 is an equidigital number, since it uses as much as digits as its factorization.

11890582801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 43.

The spelling of 11890582801 in words is "eleven billion, eight hundred ninety million, five hundred eighty-two thousand, eight hundred one".