11083121406720 has 864 divisors, whose sum is σ = 43529864361984. Its totient is φ = 2579961446400.

The previous prime is 11083121406701. The next prime is 11083121406727. The reversal of 11083121406720 is 2760412138011.

11083121406720 is a `hidden beast` number, since 1 + 108 + 3 + 121 + 406 + 7 + 20 = 666.

It is a super-3 number, since 3×11083121406720³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11083121406727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315641965 + ... + 315677075.

It is an arithmetic number, because the mean of its divisors is an integer number (50381787456).

Almost surely, 2^{11083121406720} is an apocalyptic number.

11083121406720 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 11083121406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764932180992).

11083121406720 is an abundant number, since it is smaller than the sum of its proper divisors (32446742955264).

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

11083121406720 is a wasteful number, since it uses less digits than its factorization.

11083121406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35249 (or 35232 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11083121406720 in words is "eleven trillion, eighty-three billion, one hundred twenty-one million, four hundred six thousand, seven hundred twenty".