11093841285120 has 2496 divisors, whose sum is σ = 46309214246400. Its totient is φ = 2543580610560.

The previous prime is 11093841285083. The next prime is 11093841285167. The reversal of 11093841285120 is 2158214839011.

11093841285120 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 3 + 8 + 4 + 128 + 512 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124649902036 + ... + 124649902124.

Almost surely, 2^{11093841285120} is an apocalyptic number.

11093841285120 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 11093841285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154607123200).

11093841285120 is an abundant number, since it is smaller than the sum of its proper divisors (35215372961280).

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

11093841285120 is an frugal number, since it uses more digits than its factorization.

11093841285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11093841285120 in words is "eleven trillion, ninety-three billion, eight hundred forty-one million, two hundred eighty-five thousand, one hundred twenty".