1090125216880 has 160 divisors (see below), whose sum is σ = 3126785587200. Its totient is φ = 345178960896.

The previous prime is 1090125216841. The next prime is 1090125216889. The reversal of 1090125216880 is 886125210901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090125216889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085740 + ... + 1832779.

It is an arithmetic number, because the mean of its divisors is an integer number (19542409920).

Almost surely, 2^{1090125216880} is an apocalyptic number.

1090125216880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090125216880 is an abundant number, since it is smaller than the sum of its proper divisors (2036660370320).

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

1090125216880 is a wasteful number, since it uses less digits than its factorization.

1090125216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918591 (or 2918585 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 1090125216880 in words is "one trillion, ninety billion, one hundred twenty-five million, two hundred sixteen thousand, eight hundred eighty".