20966148672 has 112 divisors (see below), whose sum is σ = 63451069440. Its totient is φ = 5985280512.

The previous prime is 20966148661. The next prime is 20966148719. The reversal of 20966148672 is 27684166902.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766823 + ... + 1778649.

Almost surely, 2^20966148672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20966148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31725534720).

20966148672 is an abundant number, since it is smaller than the sum of its proper divisors (42484920768).

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

20966148672 is a wasteful number, since it uses less digits than its factorization.

20966148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 20966148672 in words is "twenty billion, nine hundred sixty-six million, one hundred forty-eight thousand, six hundred seventy-two".