204481305600 has 1056 divisors, whose sum is σ = 814312713984. Its totient is φ = 44590694400.

The previous prime is 204481305593. The next prime is 204481305631. The reversal of 204481305600 is 6503184402.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472242984 + ... + 472243416.

It is an arithmetic number, because the mean of its divisors is an integer number (771129464).

Almost surely, 2^204481305600 is an apocalyptic number.

204481305600 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 204481305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407156356992).

204481305600 is an abundant number, since it is smaller than the sum of its proper divisors (609831408384).

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

204481305600 is a wasteful number, since it uses less digits than its factorization.

204481305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 204481305600 in words is "two hundred four billion, four hundred eighty-one million, three hundred five thousand, six hundred".