204259102320 has 640 divisors, whose sum is σ = 793497212928. Its totient is φ = 42319872000.

The previous prime is 204259102261. The next prime is 204259102417. The reversal of 204259102320 is 23201952402.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 509374120 + ... + 509374520.

Almost surely, 2^204259102320 is an apocalyptic number.

204259102320 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 204259102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396748606464).

204259102320 is an abundant number, since it is smaller than the sum of its proper divisors (589238110608).

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

204259102320 is a wasteful number, since it uses less digits than its factorization.

204259102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 204259102320 in words is "two hundred four billion, two hundred fifty-nine million, one hundred two thousand, three hundred twenty".