1082545984800 has 648 divisors, whose sum is σ = 4449813849936. Its totient is φ = 246923873280.

The previous prime is 1082545984787. The next prime is 1082545984831. The reversal of 1082545984800 is 84895452801.

1082545984800 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 5 + 4 + 598 + 48 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 184511467 + ... + 184517333.

It is an arithmetic number, because the mean of its divisors is an integer number (6866996682).

Almost surely, 2^{1082545984800} is an apocalyptic number.

1082545984800 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 1082545984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224906924968).

1082545984800 is an abundant number, since it is smaller than the sum of its proper divisors (3367267865136).

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

1082545984800 is a wasteful number, since it uses less digits than its factorization.

1082545984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1082545984800 in words is "one trillion, eighty-two billion, five hundred forty-five million, nine hundred eighty-four thousand, eight hundred".