200738721920 has 384 divisors, whose sum is σ = 544534099200. Its totient is φ = 70159564800.

The previous prime is 200738721901. The next prime is 200738721941. The reversal of 200738721920 is 29127837002.

200738721920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2069471312 + ... + 2069471408.

It is an arithmetic number, because the mean of its divisors is an integer number (1418057550).

Almost surely, 2^200738721920 is an apocalyptic number.

200738721920 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 200738721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272267049600).

200738721920 is an abundant number, since it is smaller than the sum of its proper divisors (343795377280).

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

200738721920 is an equidigital number, since it uses as much as digits as its factorization.

200738721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 200738721920 in words is "two hundred billion, seven hundred thirty-eight million, seven hundred twenty-one thousand, nine hundred twenty".