1090211139680 has 288 divisors, whose sum is σ = 3034800149472. Its totient is φ = 366627962880.

The previous prime is 1090211139607. The next prime is 1090211139701. The reversal of 1090211139680 is 869311120901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33964919 + ... + 33997001.

It is an arithmetic number, because the mean of its divisors is an integer number (10537500519).

Almost surely, 2^{1090211139680} is an apocalyptic number.

1090211139680 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 1090211139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517400074736).

1090211139680 is an abundant number, since it is smaller than the sum of its proper divisors (1944589009792).

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

1090211139680 is a wasteful number, since it uses less digits than its factorization.

1090211139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32190 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 1090211139680 in words is "one trillion, ninety billion, two hundred eleven million, one hundred thirty-nine thousand, six hundred eighty".