204185097984 has 432 divisors, whose sum is σ = 656829229056. Its totient is φ = 56086732800.

The previous prime is 204185097971. The next prime is 204185098003. The reversal of 204185097984 is 489790581402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211152669 + ... + 211153635.

Almost surely, 2^204185097984 is an apocalyptic number.

204185097984 is a gapful number since it is divisible by the number (24) 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 204185097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328414614528).

204185097984 is an abundant number, since it is smaller than the sum of its proper divisors (452644131072).

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

204185097984 is a wasteful number, since it uses less digits than its factorization.

204185097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 204185097984 in words is "two hundred four billion, one hundred eighty-five million, ninety-seven thousand, nine hundred eighty-four".