1082218084800 has 168 divisors, whose sum is σ = 3665112417792. Its totient is φ = 279282048000.

The previous prime is 1082218084793. The next prime is 1082218084817. The reversal of 1082218084800 is 84808122801.

It is a congruent number.

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, 3487686 + ... + 3785285.

It is an arithmetic number, because the mean of its divisors is an integer number (21816145344).

Almost surely, 2^{1082218084800} is an apocalyptic number.

1082218084800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082218084800 is an abundant number, since it is smaller than the sum of its proper divisors (2582894332992).

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

1082218084800 is a wasteful number, since it uses less digits than its factorization.

1082218084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273027 (or 7273012 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 1082218084800 in words is "one trillion, eighty-two billion, two hundred eighteen million, eighty-four thousand, eight hundred".