200256788438720 has 336 divisors, whose sum is σ = 539650397537280. Its totient is φ = 70616545579008.

The previous prime is 200256788438689. The next prime is 200256788438741. The reversal of 200256788438720 is 27834887652002.

200256788438720 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804640061 + ... + 804888899.

Almost surely, 2^{200256788438720} is an apocalyptic number.

200256788438720 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 200256788438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269825198768640).

200256788438720 is an abundant number, since it is smaller than the sum of its proper divisors (339393609098560).

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

200256788438720 is a wasteful number, since it uses less digits than its factorization.

200256788438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249552 (or 249529 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 62.

The spelling of 200256788438720 in words is "two hundred trillion, two hundred fifty-six billion, seven hundred eighty-eight million, four hundred thirty-eight thousand, seven hundred twenty".