200252008682880 has 2048 divisors, whose sum is σ = 838512680140800. Its totient is φ = 39438046986240.

The previous prime is 200252008682879. The next prime is 200252008682927. The reversal of 200252008682880 is 88286800252002.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 51838467829 + ... + 51838471691.

It is an arithmetic number, because the mean of its divisors is an integer number (409430019600).

Almost surely, 2^{200252008682880} is an apocalyptic number.

200252008682880 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 200252008682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419256340070400).

200252008682880 is an abundant number, since it is smaller than the sum of its proper divisors (638260671457920).

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

200252008682880 is a wasteful number, since it uses less digits than its factorization.

200252008682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 200252008682880 in words is "two hundred trillion, two hundred fifty-two billion, eight million, six hundred eighty-two thousand, eight hundred eighty".