204095428768 has 288 divisors, whose sum is σ = 538460395200. Its totient is φ = 75091968000.

The previous prime is 204095428721. The next prime is 204095428879. The reversal of 204095428768 is 867824590402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127479168 + ... + 127480768.

It is an arithmetic number, because the mean of its divisors is an integer number (1869654150).

Almost surely, 2^204095428768 is an apocalyptic number.

204095428768 is a gapful number since it is divisible by the number (28) 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 204095428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269230197600).

204095428768 is an abundant number, since it is smaller than the sum of its proper divisors (334364966432).

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

204095428768 is a wasteful number, since it uses less digits than its factorization.

204095428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 204095428768 in words is "two hundred four billion, ninety-five million, four hundred twenty-eight thousand, seven hundred sixty-eight".