20667927168 has 576 divisors, whose sum is σ = 73898265600. Its totient is φ = 5669637120.

The previous prime is 20667927139. The next prime is 20667927173. The reversal of 20667927168 is 86172976602.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162739521 + ... + 162739647.

It is an arithmetic number, because the mean of its divisors is an integer number (128295600).

Almost surely, 2^20667927168 is an apocalyptic number.

20667927168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20667927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36949132800).

20667927168 is an abundant number, since it is smaller than the sum of its proper divisors (53230338432).

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

20667927168 is a wasteful number, since it uses less digits than its factorization.

20667927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 20667927168 in words is "twenty billion, six hundred sixty-seven million, nine hundred twenty-seven thousand, one hundred sixty-eight".