22059958420809 has 45 divisors (see below), whose sum is σ = 33289713148791. Its totient is φ = 14558210578800.

The previous prime is 22059958420807. The next prime is 22059958420831. The reversal of 22059958420809 is 90802485995022.

The square root of 22059958420809 is 4696803.

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

22059958420809 is a `hidden beast` number, since 2 + 20 + 5 + 9 + 9 + 584 + 20 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21194946817209 + 865011603600 = 4603797^2 + 930060^2 .

It is not a de Polignac number, because 22059958420809 - 2¹ = 22059958420807 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22059958420807) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4269391344 + ... + 4269396510.

Almost surely, 2^{22059958420809} is an apocalyptic number.

22059958420809 is the 4696803-rd square number.

22059958420809 is the 2348402-nd centered octagonal number.

It is an amenable number.

22059958420809 is a deficient number, since it is larger than the sum of its proper divisors (11229754727982).

22059958420809 is an frugal number, since it uses more digits than its factorization.

22059958420809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 22059958420809 in words is "twenty-two trillion, fifty-nine billion, nine hundred fifty-eight million, four hundred twenty thousand, eight hundred nine".