20207551268961 has 243 divisors, whose sum is σ = 36542454260403. Its totient is φ = 10728257823360.

The previous prime is 20207551268921. The next prime is 20207551268963. The reversal of 20207551268961 is 16986215570202.

The square root of 20207551268961 is 4495281.

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

20207551268961 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 7 + 5 + 512 + 68 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 973713059361 + 19233838209600 = 986769^2 + 4385640^2 .

It is not a de Polignac number, because 20207551268961 - 2¹⁵ = 20207551236193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20207551268898 and 20207551268907.

It is not an unprimeable number, because it can be changed into a prime (20207551268963) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 89020049530 + ... + 89020049756.

Almost surely, 2^{20207551268961} is an apocalyptic number.

20207551268961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20207551268961 is the 4495281-st square number.

20207551268961 is the 2247641-st centered octagonal number.

It is an amenable number.

20207551268961 is a deficient number, since it is larger than the sum of its proper divisors (16334902991442).

20207551268961 is an equidigital number, since it uses as much as digits as its factorization.

20207551268961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20207551268961 in words is "twenty trillion, two hundred seven billion, five hundred fifty-one million, two hundred sixty-eight thousand, nine hundred sixty-one".