204880195230400 has 168 divisors, whose sum is σ = 504479811006864. Its totient is φ = 81895775846400.

The previous prime is 204880195230299. The next prime is 204880195230407. The reversal of 204880195230400 is 4032591088402.

It is not an unprimeable number, because it can be changed into a prime (204880195230407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25632448804 + ... + 25632456796.

It is an arithmetic number, because the mean of its divisors is an integer number (3002856017898).

Almost surely, 2^{204880195230400} is an apocalyptic number.

204880195230400 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 204880195230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252239905503432).

204880195230400 is an abundant number, since it is smaller than the sum of its proper divisors (299599615776464).

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

204880195230400 is a wasteful number, since it uses less digits than its factorization.

204880195230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17019 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 204880195230400 in words is "two hundred four trillion, eight hundred eighty billion, one hundred ninety-five million, two hundred thirty thousand, four hundred".