200804127713280 has 1728 divisors, whose sum is σ = 899983107878400. Its totient is φ = 41000400322560.

The previous prime is 200804127713227. The next prime is 200804127713297. The reversal of 200804127713280 is 82317721408002.

200804127713280 is a `hidden beast` number, since 2 + 0 + 0 + 80 + 412 + 77 + 13 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1819828351 + ... + 1819938689.

It is an arithmetic number, because the mean of its divisors is an integer number (520823557800).

Almost surely, 2^{200804127713280} is an apocalyptic number.

200804127713280 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 200804127713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449991553939200).

200804127713280 is an abundant number, since it is smaller than the sum of its proper divisors (699178980165120).

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

200804127713280 is a wasteful number, since it uses less digits than its factorization.

200804127713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110430 (or 110400 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 200804127713280 in words is "two hundred trillion, eight hundred four billion, one hundred twenty-seven million, seven hundred thirteen thousand, two hundred eighty".