200034270678528 has 480 divisors, whose sum is σ = 678347912642400. Its totient is φ = 55944838840320.

The previous prime is 200034270678527. The next prime is 200034270678611. The reversal of 200034270678528 is 825876072430002.

200034270678528 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 42 + 7 + 0 + 6 + 78 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200034270678527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4974348150 + ... + 4974388362.

It is an arithmetic number, because the mean of its divisors is an integer number (1413224818005).

Almost surely, 2^{200034270678528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200034270678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339173956321200).

200034270678528 is an abundant number, since it is smaller than the sum of its proper divisors (478313641963872).

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

200034270678528 is a wasteful number, since it uses less digits than its factorization.

200034270678528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47810 (or 47791 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 200034270678528 in words is "two hundred trillion, thirty-four billion, two hundred seventy million, six hundred seventy-eight thousand, five hundred twenty-eight".