204902160288 has 384 divisors, whose sum is σ = 654033139200. Its totient is φ = 54948741120.

The previous prime is 204902160283. The next prime is 204902160319. The reversal of 204902160288 is 882061209402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (204902160283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80384038 + ... + 80386586.

It is an arithmetic number, because the mean of its divisors is an integer number (1703211300).

Almost surely, 2^204902160288 is an apocalyptic number.

204902160288 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 204902160288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016569600).

204902160288 is an abundant number, since it is smaller than the sum of its proper divisors (449130978912).

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

204902160288 is a wasteful number, since it uses less digits than its factorization.

204902160288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 204902160288 in words is "two hundred four billion, nine hundred two million, one hundred sixty thousand, two hundred eighty-eight".