204978816000 has 1408 divisors, whose sum is σ = 893107737600. Its totient is φ = 45386956800.

The previous prime is 204978815989. The next prime is 204978816011. The reversal of 204978816000 is 618879402.

204978816000 is a `hidden beast` number, since 20 + 497 + 8 + 81 + 60 + 0 + 0 = 666.

204978816000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204978815989) and next prime (204978816011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895103886 + ... + 895104114.

Almost surely, 2^204978816000 is an apocalyptic number.

204978816000 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 204978816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446553868800).

204978816000 is an abundant number, since it is smaller than the sum of its proper divisors (688128921600).

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

204978816000 is a wasteful number, since it uses less digits than its factorization.

204978816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 204978816000 in words is "two hundred four billion, nine hundred seventy-eight million, eight hundred sixteen thousand".