200685359804160 has 1728 divisors, whose sum is σ = 833090286228480. Its totient is φ = 40697761628160.

The previous prime is 200685359804159. The next prime is 200685359804173. The reversal of 200685359804160 is 61408953586002.

It is a super-2 number, since 2×200685359804160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200685359804160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21171570301 + ... + 21171579779.

It is an arithmetic number, because the mean of its divisors is an integer number (482112434160).

Almost surely, 2^{200685359804160} is an apocalyptic number.

200685359804160 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 200685359804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416545143114240).

200685359804160 is an abundant number, since it is smaller than the sum of its proper divisors (632404926424320).

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

200685359804160 is a wasteful number, since it uses less digits than its factorization.

200685359804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9774 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 200685359804160 in words is "two hundred trillion, six hundred eighty-five billion, three hundred fifty-nine million, eight hundred four thousand, one hundred sixty".