20966053953168 has 40 divisors (see below), whose sum is σ = 60180340052000. Its totient is φ = 6988684650912.

The previous prime is 20966053953167. The next prime is 20966053953199. The reversal of 20966053953168 is 86135935066902.

20966053953168 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 6 + 0 + 5 + 39 + 531 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (20966053953167) 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 7 ways as a sum of consecutive naturals, for example, 24266265718 + ... + 24266266581.

It is an arithmetic number, because the mean of its divisors is an integer number (1504508501300).

Almost surely, 2^{20966053953168} is an apocalyptic number.

It is an amenable number.

20966053953168 is an abundant number, since it is smaller than the sum of its proper divisors (39214286098832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20966053953168 is a wasteful number, since it uses less digits than its factorization.

20966053953168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48532532316 (or 48532532304 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 20966053953168 in words is "twenty trillion, nine hundred sixty-six billion, fifty-three million, nine hundred fifty-three thousand, one hundred sixty-eight".