20659392000 has 960 divisors, whose sum is σ = 83649646080. Its totient is φ = 4866048000.

The previous prime is 20659391993. The next prime is 20659392007. The reversal of 20659392000 is 29395602.

It is an interprime number because it is at equal distance from previous prime (20659391993) and next prime (20659392007).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20659392007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232127956 + ... + 232128044.

It is an arithmetic number, because the mean of its divisors is an integer number (87135048).

Almost surely, 2^20659392000 is an apocalyptic number.

20659392000 is a gapful number since it is divisible by the number (20) 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 20659392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41824823040).

20659392000 is an abundant number, since it is smaller than the sum of its proper divisors (62990254080).

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

20659392000 is a wasteful number, since it uses less digits than its factorization.

20659392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 20659392000 in words is "twenty billion, six hundred fifty-nine million, three hundred ninety-two thousand".