204400203135200 has 72 divisors (see below), whose sum is σ = 498993979606920. Its totient is φ = 81759756224000.

The previous prime is 204400203135127. The next prime is 204400203135209. The reversal of 204400203135200 is 2531302004402.

It is a super-2 number, since 2×204400203135200² (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 204400203135200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204400203135209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366642266 + ... + 367199334.

It is an arithmetic number, because the mean of its divisors is an integer number (6930471938985).

Almost surely, 2^{204400203135200} is an apocalyptic number.

204400203135200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204400203135200 is an abundant number, since it is smaller than the sum of its proper divisors (294593776471720).

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

204400203135200 is a wasteful number, since it uses less digits than its factorization.

204400203135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015740 (or 1015727 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 204400203135200 its reverse (2531302004402), we get a palindrome (206931505139602).

The spelling of 204400203135200 in words is "two hundred four trillion, four hundred billion, two hundred three million, one hundred thirty-five thousand, two hundred".