11083828377600 has 432 divisors, whose sum is σ = 43303702838760. Its totient is φ = 2686987468800.

The previous prime is 11083828377539. The next prime is 11083828377749. The reversal of 11083828377600 is 677382838011.

11083828377600 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 3 + 8 + 28 + 3 + 7 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3975462 + ... + 6162138.

Almost surely, 2^{11083828377600} is an apocalyptic number.

11083828377600 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 11083828377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651851419380).

11083828377600 is an abundant number, since it is smaller than the sum of its proper divisors (32219874461160).

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

11083828377600 is a wasteful number, since it uses less digits than its factorization.

11083828377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186726 (or 2186698 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11083828377600 in words is "eleven trillion, eighty-three billion, eight hundred twenty-eight million, three hundred seventy-seven thousand, six hundred".