204997905979776 has 2048 divisors, whose sum is σ = 774532175155200. Its totient is φ = 51943381401600.

The previous prime is 204997905979771. The next prime is 204997905979787. The reversal of 204997905979776 is 677979509799402.

204997905979776 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 9 + 7 + 9 + 0 + 597 + 9 + 7 + 7 + 6 = 666.

204997905979776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×204997905979776³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204997905979771) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 265197808126 + ... + 265197808898.

It is an arithmetic number, because the mean of its divisors is an integer number (378189538650).

Almost surely, 2^{204997905979776} is an apocalyptic number.

204997905979776 is a gapful number since it is divisible by the number (26) 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 204997905979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387266087577600).

204997905979776 is an abundant number, since it is smaller than the sum of its proper divisors (569534269175424).

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

204997905979776 is a wasteful number, since it uses less digits than its factorization.

204997905979776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 34026395760, while the sum is 90.

The spelling of 204997905979776 in words is "two hundred four trillion, nine hundred ninety-seven billion, nine hundred five million, nine hundred seventy-nine thousand, seven hundred seventy-six".