20667814856289 has 64 divisors (see below), whose sum is σ = 31708379422720. Its totient is φ = 13296638073600.

The previous prime is 20667814856279. The next prime is 20667814856317. The reversal of 20667814856289 is 98265841876602.

20667814856289 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 7 + 8 + 1 + 485 + 62 + 89 = 666.

It is not a de Polignac number, because 20667814856289 - 2²⁰ = 20667813807713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20667814856239) 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 63 ways as a sum of consecutive naturals, for example, 51579864 + ... + 51979014.

It is an arithmetic number, because the mean of its divisors is an integer number (495443428480).

Almost surely, 2^{20667814856289} is an apocalyptic number.

It is an amenable number.

20667814856289 is a deficient number, since it is larger than the sum of its proper divisors (11040564566431).

20667814856289 is a wasteful number, since it uses less digits than its factorization.

20667814856289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399739 (or 399733 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 20667814856289 in words is "twenty trillion, six hundred sixty-seven billion, eight hundred fourteen million, eight hundred fifty-six thousand, two hundred eighty-nine".