1083863162880 has 672 divisors, whose sum is σ = 4021438809024. Its totient is φ = 269072990208.

The previous prime is 1083863162869. The next prime is 1083863162909. The reversal of 1083863162880 is 882613683801.

1083863162880 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 8 + 6 + 3 + 1 + 628 + 8 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607886469 + ... + 607888251.

It is an arithmetic number, because the mean of its divisors is an integer number (5984283942).

Almost surely, 2^{1083863162880} is an apocalyptic number.

1083863162880 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 1083863162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010719404512).

1083863162880 is an abundant number, since it is smaller than the sum of its proper divisors (2937575646144).

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

1083863162880 is a wasteful number, since it uses less digits than its factorization.

1083863162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1083863162880 in words is "one trillion, eighty-three billion, eight hundred sixty-three million, one hundred sixty-two thousand, eight hundred eighty".