1081935221760 has 1056 divisors, whose sum is σ = 4206343290240. Its totient is φ = 265728688128.

The previous prime is 1081935221747. The next prime is 1081935221863. The reversal of 1081935221760 is 671225391801.

1081935221760 is a `hidden beast` number, since 1 + 0 + 81 + 9 + 352 + 217 + 6 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874643862 + ... + 874645098.

Almost surely, 2^{1081935221760} is an apocalyptic number.

1081935221760 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 1081935221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103171645120).

1081935221760 is an abundant number, since it is smaller than the sum of its proper divisors (3124408068480).

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

1081935221760 is a wasteful number, since it uses less digits than its factorization.

1081935221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1081935221760 in words is "one trillion, eighty-one billion, nine hundred thirty-five million, two hundred twenty-one thousand, seven hundred sixty".