200827830276300 has 144 divisors (see below), whose sum is σ = 582484506105600. Its totient is φ = 53423054979840.

The previous prime is 200827830276299. The next prime is 200827830276389. The reversal of 200827830276300 is 3672038728002.

It is a self number, because there is not a number n which added to its sum of digits gives 200827830276300.

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, 372139267 + ... + 372678533.

It is an arithmetic number, because the mean of its divisors is an integer number (4045031292400).

Almost surely, 2^{200827830276300} is an apocalyptic number.

200827830276300 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 200827830276300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291242253052800).

200827830276300 is an abundant number, since it is smaller than the sum of its proper divisors (381656675829300).

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

200827830276300 is a wasteful number, since it uses less digits than its factorization.

200827830276300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542320 (or 542313 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 200827830276300 in words is "two hundred trillion, eight hundred twenty-seven billion, eight hundred thirty million, two hundred seventy-six thousand, three hundred".