1082956137984 has 400 divisors, whose sum is σ = 3713632598016. Its totient is φ = 307780300800.

The previous prime is 1082956137959. The next prime is 1082956138001. The reversal of 1082956137984 is 4897316592801.

1082956137984 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 9 + 5 + 613 + 7 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 55438299 + ... + 55457829.

It is a 1-persistent number, because it is pandigital, but 2⋅1082956137984 = 2165912275968 is not.

Almost surely, 2^{1082956137984} is an apocalyptic number.

1082956137984 is a gapful number since it is divisible by the number (14) 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 1082956137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856816299008).

1082956137984 is an abundant number, since it is smaller than the sum of its proper divisors (2630676460032).

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

1082956137984 is an equidigital number, since it uses as much as digits as its factorization.

1082956137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19759 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1082956137984 in words is "one trillion, eighty-two billion, nine hundred fifty-six million, one hundred thirty-seven thousand, nine hundred eighty-four".