1080939684960 has 1152 divisors, whose sum is σ = 4076972040960. Its totient is φ = 260112384000.

The previous prime is 1080939684959. The next prime is 1080939684971. The reversal of 1080939684960 is 694869390801.

It is a happy number.

1080939684960 is a `hidden beast` number, since 1 + 0 + 80 + 9 + 3 + 9 + 68 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7158540885 + ... + 7158541035.

It is an arithmetic number, because the mean of its divisors is an integer number (3539038230).

Almost surely, 2^{1080939684960} is an apocalyptic number.

1080939684960 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 1080939684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038486020480).

1080939684960 is an abundant number, since it is smaller than the sum of its proper divisors (2996032356000).

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

1080939684960 is a wasteful number, since it uses less digits than its factorization.

1080939684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1080939684960 in words is "one trillion, eighty billion, nine hundred thirty-nine million, six hundred eighty-four thousand, nine hundred sixty".