1609825804800 has 240 divisors, whose sum is σ = 5320565613792. Its totient is φ = 429076480000.

The previous prime is 1609825804793. The next prime is 1609825804889. The reversal of 1609825804800 is 84085289061.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88195675 + ... + 88213925.

Almost surely, 2^{1609825804800} is an apocalyptic number.

1609825804800 is a gapful number since it is divisible by the number (10) 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 1609825804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660282806896).

1609825804800 is an abundant number, since it is smaller than the sum of its proper divisors (3710739808992).

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

1609825804800 is a wasteful number, since it uses less digits than its factorization.

1609825804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20558 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 1609825804800 in words is "one trillion, six hundred nine billion, eight hundred twenty-five million, eight hundred four thousand, eight hundred".