1085209900800 has 432 divisors, whose sum is σ = 3619838315520. Its totient is φ = 286303109120.

The previous prime is 1085209900771. The next prime is 1085209900813. The reversal of 1085209900800 is 80099025801.

It is a happy number.

It is a congruent number.

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, 793861717 + ... + 793863083.

It is an arithmetic number, because the mean of its divisors is an integer number (8379255360).

Almost surely, 2^{1085209900800} is an apocalyptic number.

1085209900800 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 1085209900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809919157760).

1085209900800 is an abundant number, since it is smaller than the sum of its proper divisors (2534628414720).

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

1085209900800 is a wasteful number, since it uses less digits than its factorization.

1085209900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 1085209900800 in words is "one trillion, eighty-five billion, two hundred nine million, nine hundred thousand, eight hundred".