20826435832801 has 15 divisors (see below), whose sum is σ = 22129473885493. Its totient is φ = 19600110073120.

The previous prime is 20826435832777. The next prime is 20826435832823. The reversal of 20826435832801 is 10823853462802.

The square root of 20826435832801 is 4563599.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6463548607201 + 14362887225600 = 2542351^2 + 3789840^2 .

It is not a de Polignac number, because 20826435832801 - 2³⁷ = 20688996879329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20826435832901) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1318872216 + ... + 1318888006.

Almost surely, 2^{20826435832801} is an apocalyptic number.

20826435832801 is the 4563599-th square number.

20826435832801 is the 2281800-th centered octagonal number.

It is an amenable number.

20826435832801 is a deficient number, since it is larger than the sum of its proper divisors (1303038052692).

20826435832801 is an frugal number, since it uses more digits than its factorization.

20826435832801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 20826435832801 in words is "twenty trillion, eight hundred twenty-six billion, four hundred thirty-five million, eight hundred thirty-two thousand, eight hundred one".