1082235411792 has 120 divisors (see below), whose sum is σ = 3207450692160. Its totient is φ = 339468456960.

The previous prime is 1082235411787. The next prime is 1082235411821. The reversal of 1082235411792 is 2971145322801.

1082235411792 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 2 + 3 + 541 + 17 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16169917 + ... + 16236707.

It is an arithmetic number, because the mean of its divisors is an integer number (26728755768).

Almost surely, 2^{1082235411792} is an apocalyptic number.

1082235411792 is a gapful number since it is divisible by the number (12) 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 1082235411792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603725346080).

1082235411792 is an abundant number, since it is smaller than the sum of its proper divisors (2125215280368).

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

1082235411792 is a wasteful number, since it uses less digits than its factorization.

1082235411792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73441 (or 73432 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1082235411792 in words is "one trillion, eighty-two billion, two hundred thirty-five million, four hundred eleven thousand, seven hundred ninety-two".