20906688000 has 640 divisors, whose sum is σ = 79972738560. Its totient is φ = 4792320000.

The previous prime is 20906687999. The next prime is 20906688001. The reversal of 20906688000 is 88660902.

It is an interprime number because it is at equal distance from previous prime (20906687999) and next prime (20906688001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 20906688000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20906688001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40127740 + ... + 40128260.

It is an arithmetic number, because the mean of its divisors is an integer number (124957404).

Almost surely, 2^20906688000 is an apocalyptic number.

20906688000 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 20906688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39986369280).

20906688000 is an abundant number, since it is smaller than the sum of its proper divisors (59066050560).

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

20906688000 is a wasteful number, since it uses less digits than its factorization.

20906688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20906688000 in words is "twenty billion, nine hundred six million, six hundred eighty-eight thousand".