1093288280000 has 280 divisors, whose sum is σ = 3110545581792. Its totient is φ = 373358592000.

The previous prime is 1093288279987. The next prime is 1093288280003. The reversal of 1093288280000 is 828823901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 1093288280000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093288280003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71952404 + ... + 71967596.

Almost surely, 2^{1093288280000} is an apocalyptic number.

1093288280000 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 1093288280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555272790896).

1093288280000 is an abundant number, since it is smaller than the sum of its proper divisors (2017257301792).

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

1093288280000 is an equidigital number, since it uses as much as digits as its factorization.

1093288280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 1093288280000 in words is "one trillion, ninety-three billion, two hundred eighty-eight million, two hundred eighty thousand".