11065537665 has 96 divisors (see below), whose sum is σ = 23635213056. Its totient is φ = 4663733760.

The previous prime is 11065537649. The next prime is 11065537667. The reversal of 11065537665 is 56673556011.

11065537665 is a `hidden beast` number, since 1 + 106 + 5 + 537 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 11065537665 - 2⁴ = 11065537649 is a prime.

It is a super-2 number, since 2×11065537665² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11065537665.

It is not an unprimeable number, because it can be changed into a prime (11065537667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6637162 + ... + 6638828.

It is an arithmetic number, because the mean of its divisors is an integer number (246200136).

Almost surely, 2^11065537665 is an apocalyptic number.

11065537665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11065537665 is an abundant number, since it is smaller than the sum of its proper divisors (12569675391).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11065537665 is a wasteful number, since it uses less digits than its factorization.

11065537665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 11065537665 in words is "eleven billion, sixty-five million, five hundred thirty-seven thousand, six hundred sixty-five".