204405821280 has 576 divisors, whose sum is σ = 779785755840. Its totient is φ = 48455221248.

The previous prime is 204405821267. The next prime is 204405821281. The reversal of 204405821280 is 82128504402.

204405821280 is a `hidden beast` number, since 20 + 4 + 40 + 582 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204405821281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303723024 + ... + 303723696.

It is an arithmetic number, because the mean of its divisors is an integer number (1353794715).

Almost surely, 2^204405821280 is an apocalyptic number.

204405821280 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 204405821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389892877920).

204405821280 is an abundant number, since it is smaller than the sum of its proper divisors (575379934560).

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

204405821280 is a wasteful number, since it uses less digits than its factorization.

204405821280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 204405821280 in words is "two hundred four billion, four hundred five million, eight hundred twenty-one thousand, two hundred eighty".