11599957268641 has 27 divisors (see below), whose sum is σ = 13569488890713. Its totient is φ = 9887379747840.

The previous prime is 11599957268621. The next prime is 11599957268723. The reversal of 11599957268641 is 14686275999511.

The square root of 11599957268641 is 3405871.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8504834853025 + 3095122415616 = 2916305^2 + 1759296^2 .

It is not a de Polignac number, because 11599957268641 - 2¹¹ = 11599957266593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11599957268621) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4601330461 + ... + 4601332981.

It is an arithmetic number, because the mean of its divisors is an integer number (502573662619).

Almost surely, 2^{11599957268641} is an apocalyptic number.

11599957268641 is the 3405871-st square number.

11599957268641 is the 1702936-th centered octagonal number.

It is an amenable number.

11599957268641 is a deficient number, since it is larger than the sum of its proper divisors (1969531622072).

11599957268641 is an frugal number, since it uses more digits than its factorization.

11599957268641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 2721 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 73.

The spelling of 11599957268641 in words is "eleven trillion, five hundred ninety-nine billion, nine hundred fifty-seven million, two hundred sixty-eight thousand, six hundred forty-one".