204575450880 has 288 divisors, whose sum is σ = 674083597824. Its totient is φ = 52836876288.

The previous prime is 204575450831. The next prime is 204575450881. The reversal of 204575450880 is 88054575402.

It is a super-2 number, since 2×204575450880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204575450881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32248989 + ... + 32255331.

It is an arithmetic number, because the mean of its divisors is an integer number (2340568048).

Almost surely, 2^204575450880 is an apocalyptic number.

204575450880 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 204575450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337041798912).

204575450880 is an abundant number, since it is smaller than the sum of its proper divisors (469508146944).

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

204575450880 is a wasteful number, since it uses less digits than its factorization.

204575450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 204575450880 in words is "two hundred four billion, five hundred seventy-five million, four hundred fifty thousand, eight hundred eighty".