20129932900 has 288 divisors, whose sum is σ = 58632747264. Its totient is φ = 5806080000.

The previous prime is 20129932871. The next prime is 20129932909. The reversal of 20129932900 is 923992102.

It is a self number, because there is not a number n which added to its sum of digits gives 20129932900.

It is not an unprimeable number, because it can be changed into a prime (20129932909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7983640 + ... + 7986160.

It is an arithmetic number, because the mean of its divisors is an integer number (203585928).

Almost surely, 2^20129932900 is an apocalyptic number.

20129932900 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 20129932900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29316373632).

20129932900 is an abundant number, since it is smaller than the sum of its proper divisors (38502814364).

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

20129932900 is a wasteful number, since it uses less digits than its factorization.

20129932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 20129932900 in words is "twenty billion, one hundred twenty-nine million, nine hundred thirty-two thousand, nine hundred".