20667827826657 has 64 divisors (see below), whose sum is σ = 34309063526400. Its totient is φ = 12186087560640.

The previous prime is 20667827826631. The next prime is 20667827826677. The reversal of 20667827826657 is 75662872876602.

20667827826657 is a `hidden beast` number, since 20 + 6 + 6 + 78 + 278 + 266 + 5 + 7 = 666.

It is not a de Polignac number, because 20667827826657 - 2¹⁶ = 20667827761121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20667827826677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105605428 + ... + 105800954.

It is an arithmetic number, because the mean of its divisors is an integer number (536079117600).

Almost surely, 2^{20667827826657} is an apocalyptic number.

20667827826657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20667827826657 is a deficient number, since it is larger than the sum of its proper divisors (13641235699743).

20667827826657 is a wasteful number, since it uses less digits than its factorization.

20667827826657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205203 (or 205197 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 20667827826657 in words is "twenty trillion, six hundred sixty-seven billion, eight hundred twenty-seven million, eight hundred twenty-six thousand, six hundred fifty-seven".