1082378088000 has 336 divisors, whose sum is σ = 4223835982080. Its totient is φ = 262394496000.

The previous prime is 1082378087971. The next prime is 1082378088007. The reversal of 1082378088000 is 8808732801.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1082378088007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 108681 + ... + 1475319.

Almost surely, 2^{1082378088000} is an apocalyptic number.

1082378088000 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 1082378088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111917991040).

1082378088000 is an abundant number, since it is smaller than the sum of its proper divisors (3141457894080).

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

1082378088000 is a wasteful number, since it uses less digits than its factorization.

1082378088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366683 (or 1366660 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1082378088000 in words is "one trillion, eighty-two billion, three hundred seventy-eight million, eighty-eight thousand".