1082408132160 has 560 divisors, whose sum is σ = 4030711483392. Its totient is φ = 275382374400.

The previous prime is 1082408132147. The next prime is 1082408132167. The reversal of 1082408132160 is 612318042801.

1082408132160 is a `hidden beast` number, since 1 + 0 + 82 + 408 + 13 + 2 + 160 = 666.

It is a super-2 number, since 2×1082408132160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1082408132167) 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 79 ways as a sum of consecutive naturals, for example, 57040434 + ... + 57059406.

Almost surely, 2^{1082408132160} is an apocalyptic number.

1082408132160 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 1082408132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015355741696).

1082408132160 is an abundant number, since it is smaller than the sum of its proper divisors (2948303351232).

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

1082408132160 is a wasteful number, since it uses less digits than its factorization.

1082408132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1082408132160 in words is "one trillion, eighty-two billion, four hundred eight million, one hundred thirty-two thousand, one hundred sixty".