1100327980752 has 1280 divisors, whose sum is σ = 4437049344000. Its totient is φ = 251830425600.

The previous prime is 1100327980723. The next prime is 1100327980757. The reversal of 1100327980752 is 2570897230011.

It is a junction number, because it is equal to n+sod(n) for n = 1100327980698 and 1100327980707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100327980757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1059025449 + ... + 1059026487.

It is an arithmetic number, because the mean of its divisors is an integer number (3466444800).

Almost surely, 2^{1100327980752} is an apocalyptic number.

1100327980752 is a gapful number since it is divisible by the number (12) 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 1100327980752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218524672000).

1100327980752 is an abundant number, since it is smaller than the sum of its proper divisors (3336721363248).

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

1100327980752 is a wasteful number, since it uses less digits than its factorization.

1100327980752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1100327980752 in words is "one trillion, one hundred billion, three hundred twenty-seven million, nine hundred eighty thousand, seven hundred fifty-two".