1190082105984 has 128 divisors (see below), whose sum is σ = 3264692947200. Its totient is φ = 383890817024.

The previous prime is 1190082105941. The next prime is 1190082106009. The reversal of 1190082105984 is 4895012800911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1235824 + ... + 1976720.

It is an arithmetic number, because the mean of its divisors is an integer number (25505413650).

Almost surely, 2^{1190082105984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1190082105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632346473600).

1190082105984 is an abundant number, since it is smaller than the sum of its proper divisors (2074610841216).

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

1190082105984 is an equidigital number, since it uses as much as digits as its factorization.

1190082105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741050 (or 741038 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 1190082105984 in words is "one trillion, one hundred ninety billion, eighty-two million, one hundred five thousand, nine hundred eighty-four".