11995021804689 has 405 divisors, whose sum is σ = 23460034757835. Its totient is φ = 5888305241280.

The previous prime is 11995021804679. The next prime is 11995021804693. The reversal of 11995021804689 is 98640812059911.

The square root of 11995021804689 is 3463383.

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

11995021804689 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 502 + 1 + 8 + 0 + 46 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6289898473089 + 5705123331600 = 2507967^2 + 2388540^2 .

It is not a de Polignac number, because 11995021804689 - 2³⁹ = 11445265990801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11995021804669) 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 404 ways as a sum of consecutive naturals, for example, 255213229864 + ... + 255213229910.

Almost surely, 2^{11995021804689} is an apocalyptic number.

11995021804689 is the 3463383-rd square number.

11995021804689 is the 1731692-nd centered octagonal number.

It is an amenable number.

11995021804689 is a deficient number, since it is larger than the sum of its proper divisors (11465012953146).

11995021804689 is an frugal number, since it uses more digits than its factorization.

11995021804689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 11995021804689 in words is "eleven trillion, nine hundred ninety-five billion, twenty-one million, eight hundred four thousand, six hundred eighty-nine".