204989309521920 has 4368 divisors, whose sum is σ = 978377421852288. Its totient is φ = 40024607293440.

The previous prime is 204989309521847. The next prime is 204989309522027. The reversal of 204989309521920 is 29125903989402.

204989309521920 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 89 + 3 + 0 + 9 + 521 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 332235509452 + ... + 332235510068.

Almost surely, 2^{204989309521920} is an apocalyptic number.

204989309521920 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 204989309521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489188710926144).

204989309521920 is an abundant number, since it is smaller than the sum of its proper divisors (773388112330368).

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

204989309521920 is an equidigital number, since it uses as much as digits as its factorization.

204989309521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 204989309521920 in words is "two hundred four trillion, nine hundred eighty-nine billion, three hundred nine million, five hundred twenty-one thousand, nine hundred twenty".