20688146800 has 60 divisors (see below), whose sum is σ = 49781429856. Its totient is φ = 8262246400.

The previous prime is 20688146771. The next prime is 20688146803. The reversal of 20688146800 is 864188602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20688146803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216057 + ... + 296743.

Almost surely, 2^20688146800 is an apocalyptic number.

20688146800 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 20688146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890714928).

20688146800 is an abundant number, since it is smaller than the sum of its proper divisors (29093283056).

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

20688146800 is a wasteful number, since it uses less digits than its factorization.

20688146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81346 (or 81335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 20688146800 in words is "twenty billion, six hundred eighty-eight million, one hundred forty-six thousand, eight hundred".