204172768800 has 3456 divisors, whose sum is σ = 1077231052800. Its totient is φ = 36578304000.

The previous prime is 204172768771. The next prime is 204172768837. The reversal of 204172768800 is 8867271402.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2875672765 + ... + 2875672835.

It is an arithmetic number, because the mean of its divisors is an integer number (311698800).

Almost surely, 2^204172768800 is an apocalyptic number.

204172768800 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 204172768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538615526400).

204172768800 is an abundant number, since it is smaller than the sum of its proper divisors (873058284000).

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

204172768800 is a wasteful number, since it uses less digits than its factorization.

204172768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 204172768800 in words is "two hundred four billion, one hundred seventy-two million, seven hundred sixty-eight thousand, eight hundred".