11616400511065 has 24 divisors (see below), whose sum is σ = 16215812399880. Its totient is φ = 7965401326848.

The previous prime is 11616400511041. The next prime is 11616400511083. The reversal of 11616400511065 is 56011500461611.

It can be written as a sum of positive squares in 4 ways, for example, as 1825409059929 + 9790991451136 = 1351077^2 + 3129056^2 .

It is not a de Polignac number, because 11616400511065 - 2²¹ = 11616398413913 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16013359 + ... + 16723051.

It is an arithmetic number, because the mean of its divisors is an integer number (675658849995).

Almost surely, 2^{11616400511065} is an apocalyptic number.

It is an amenable number.

11616400511065 is a deficient number, since it is larger than the sum of its proper divisors (4599411888815).

11616400511065 is an equidigital number, since it uses as much as digits as its factorization.

11616400511065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776521 (or 776514 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

Adding to 11616400511065 its reverse (56011500461611), we get a palindrome (67627900972676).

The spelling of 11616400511065 in words is "eleven trillion, six hundred sixteen billion, four hundred million, five hundred eleven thousand, sixty-five".