1080834693120 has 3456 divisors, whose sum is σ = 5378553835200. Its totient is φ = 203333566464.

The previous prime is 1080834693119. The next prime is 1080834693161. The reversal of 1080834693120 is 213964380801.

1080834693120 is a `hidden beast` number, since 1 + 0 + 80 + 83 + 469 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 56886036471 + ... + 56886036489.

Almost surely, 2^{1080834693120} is an apocalyptic number.

1080834693120 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 1080834693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689276917600).

1080834693120 is an abundant number, since it is smaller than the sum of its proper divisors (4297719142080).

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

1080834693120 is a wasteful number, since it uses less digits than its factorization.

1080834693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1080834693120 in words is "one trillion, eighty billion, eight hundred thirty-four million, six hundred ninety-three thousand, one hundred twenty".