20306725200 has 180 divisors, whose sum is σ = 70529681248. Its totient is φ = 5410540800.

The previous prime is 20306725193. The next prime is 20306725223. The reversal of 20306725200 is 252760302.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7670277 + ... + 7672923.

Almost surely, 2^20306725200 is an apocalyptic number.

20306725200 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 20306725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264840624).

20306725200 is an abundant number, since it is smaller than the sum of its proper divisors (50222956048).

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

20306725200 is a wasteful number, since it uses less digits than its factorization.

20306725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 20306725200 in words is "twenty billion, three hundred six million, seven hundred twenty-five thousand, two hundred".