1082235755120 has 80 divisors (see below), whose sum is σ = 2711421562080. Its totient is φ = 399348513792.

The previous prime is 1082235755093. The next prime is 1082235755129. The reversal of 1082235755120 is 215575322801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082235755129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372286 + ... + 2011874.

It is an arithmetic number, because the mean of its divisors is an integer number (33892769526).

Almost surely, 2^{1082235755120} is an apocalyptic number.

1082235755120 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 1082235755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355710781040).

1082235755120 is an abundant number, since it is smaller than the sum of its proper divisors (1629185806960).

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

1082235755120 is a wasteful number, since it uses less digits than its factorization.

1082235755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641242 (or 641236 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 1082235755120 in words is "one trillion, eighty-two billion, two hundred thirty-five million, seven hundred fifty-five thousand, one hundred twenty".