20942659584 has 1008 divisors, whose sum is σ = 83910318336. Its totient is φ = 4954521600.

The previous prime is 20942659559. The next prime is 20942659589. The reversal of 20942659584 is 48595624902.

20942659584 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 2 + 6 + 59 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 20942659584.

It is not an unprimeable number, because it can be changed into a prime (20942659589) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 675569649 + ... + 675569679.

Almost surely, 2^20942659584 is an apocalyptic number.

20942659584 is a gapful number since it is divisible by the number (24) 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 20942659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955159168).

20942659584 is an abundant number, since it is smaller than the sum of its proper divisors (62967658752).

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

20942659584 is a wasteful number, since it uses less digits than its factorization.

20942659584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 20942659584 in words is "twenty billion, nine hundred forty-two million, six hundred fifty-nine thousand, five hundred eighty-four".