204863053824 has 1120 divisors, whose sum is σ = 767309469696. Its totient is φ = 53508833280.

The previous prime is 204863053799. The next prime is 204863053847. The reversal of 204863053824 is 428350368402.

204863053824 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 630 + 5 + 3 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 204863053824.

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, 1613094849 + ... + 1613094975.

Almost surely, 2^204863053824 is an apocalyptic number.

204863053824 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 204863053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383654734848).

204863053824 is an abundant number, since it is smaller than the sum of its proper divisors (562446415872).

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

204863053824 is a wasteful number, since it uses less digits than its factorization.

204863053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 204863053824 in words is "two hundred four billion, eight hundred sixty-three million, fifty-three thousand, eight hundred twenty-four".