11083938120 has 192 divisors, whose sum is σ = 38199723120. Its totient is φ = 2777628672.

The previous prime is 11083938113. The next prime is 11083938163. The reversal of 11083938120 is 2183938011.

It can be written as a sum of positive squares in 8 ways, for example, as 8816083236 + 2267854884 = 93894^2 + 47622^2 .

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

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, 6688332 + ... + 6689988.

Almost surely, 2^11083938120 is an apocalyptic number.

11083938120 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 11083938120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099861560).

11083938120 is an abundant number, since it is smaller than the sum of its proper divisors (27115785000).

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

11083938120 is a wasteful number, since it uses less digits than its factorization.

11083938120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11083938120 in words is "eleven billion, eighty-three million, nine hundred thirty-eight thousand, one hundred twenty".