11584864512705 has 128 divisors (see below), whose sum is σ = 22028308992000. Its totient is φ = 5135631621120.

The previous prime is 11584864512677. The next prime is 11584864512719. The reversal of 11584864512705 is 50721546848511.

It is not a de Polignac number, because 11584864512705 - 2¹¹ = 11584864510657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227534791 + ... + 227585699.

It is an arithmetic number, because the mean of its divisors is an integer number (172096164000).

Almost surely, 2^{11584864512705} is an apocalyptic number.

11584864512705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11584864512705 is a deficient number, since it is larger than the sum of its proper divisors (10443444479295).

11584864512705 is a wasteful number, since it uses less digits than its factorization.

11584864512705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53479.

The product of its (nonzero) digits is 10752000, while the sum is 57.

The spelling of 11584864512705 in words is "eleven trillion, five hundred eighty-four billion, eight hundred sixty-four million, five hundred twelve thousand, seven hundred five".