204979527961920 has 560 divisors, whose sum is σ = 732127656034368. Its totient is φ = 54438061547520.

The previous prime is 204979527961889. The next prime is 204979527961991. The reversal of 204979527961920 is 29169725979402.

204979527961920 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 7 + 9 + 527 + 9 + 6 + 1 + 92 + 0 = 666.

204979527961920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16336929087 + ... + 16336941633.

Almost surely, 2^{204979527961920} is an apocalyptic number.

204979527961920 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 204979527961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366063828017184).

204979527961920 is an abundant number, since it is smaller than the sum of its proper divisors (527148128072448).

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

204979527961920 is a wasteful number, since it uses less digits than its factorization.

204979527961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 204979527961920 in words is "two hundred four trillion, nine hundred seventy-nine billion, five hundred twenty-seven million, nine hundred sixty-one thousand, nine hundred twenty".