204226138080 has 768 divisors, whose sum is σ = 783036979200. Its totient is φ = 49514250240.

The previous prime is 204226138031. The next prime is 204226138177. The reversal of 204226138080 is 80831622402.

204226138080 is a `hidden beast` number, since 20 + 422 + 6 + 138 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276354351 + ... + 276355089.

It is an arithmetic number, because the mean of its divisors is an integer number (1019579400).

Almost surely, 2^204226138080 is an apocalyptic number.

204226138080 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 204226138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391518489600).

204226138080 is an abundant number, since it is smaller than the sum of its proper divisors (578810841120).

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

204226138080 is a wasteful number, since it uses less digits than its factorization.

204226138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 204226138080 in words is "two hundred four billion, two hundred twenty-six million, one hundred thirty-eight thousand, eighty".