1083180075768 has 288 divisors, whose sum is σ = 3725228707200. Its totient is φ = 293191109568.

The previous prime is 1083180075767. The next prime is 1083180075773. The reversal of 1083180075768 is 8675700813801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083180075767) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1510621 + ... + 2109107.

It is an arithmetic number, because the mean of its divisors is an integer number (12934821900).

Almost surely, 2^{1083180075768} is an apocalyptic number.

1083180075768 is a gapful number since it is divisible by the number (18) 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 1083180075768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862614353600).

1083180075768 is an abundant number, since it is smaller than the sum of its proper divisors (2642048631432).

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

1083180075768 is a wasteful number, since it uses less digits than its factorization.

1083180075768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598541 (or 598518 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1083180075768 in words is "one trillion, eighty-three billion, one hundred eighty million, seventy-five thousand, seven hundred sixty-eight".