11111065584001 has 16 divisors (see below), whose sum is σ = 11178900564480. Its totient is φ = 11043417208320.

The previous prime is 11111065583957. The next prime is 11111065584007. The reversal of 11111065584001 is 10048556011111.

It is a cyclic number.

It is not a de Polignac number, because 11111065584001 - 2¹³ = 11111065575809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11111065584007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177888381 + ... + 1177897813.

It is an arithmetic number, because the mean of its divisors is an integer number (698681285280).

Almost surely, 2^{11111065584001} is an apocalyptic number.

It is an amenable number.

11111065584001 is a deficient number, since it is larger than the sum of its proper divisors (67834980479).

11111065584001 is an equidigital number, since it uses as much as digits as its factorization.

11111065584001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18576.

The product of its (nonzero) digits is 4800, while the sum is 34.

The spelling of 11111065584001 in words is "eleven trillion, one hundred eleven billion, sixty-five million, five hundred eighty-four thousand, one".