200306925000 has 960 divisors, whose sum is σ = 863884707840. Its totient is φ = 42223680000.

The previous prime is 200306924989. The next prime is 200306925017. The reversal of 200306925000 is 529603002.

200306925000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 184274457 + ... + 184275543.

It is an arithmetic number, because the mean of its divisors is an integer number (899879904).

Almost surely, 2^200306925000 is an apocalyptic number.

200306925000 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 200306925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431942353920).

200306925000 is an abundant number, since it is smaller than the sum of its proper divisors (663577782840).

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

200306925000 is a wasteful number, since it uses less digits than its factorization.

200306925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 200306925000 in words is "two hundred billion, three hundred six million, nine hundred twenty-five thousand".