11083882369950 has 576 divisors, whose sum is σ = 33894193132800. Its totient is φ = 2676281472000.

The previous prime is 11083882369907. The next prime is 11083882369991. The reversal of 11083882369950 is 5996328838011.

11083882369950 is a `hidden beast` number, since 1 + 10 + 8 + 388 + 236 + 9 + 9 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 5600748061 + ... + 5600750039.

It is an arithmetic number, because the mean of its divisors is an integer number (58844085300).

Almost surely, 2^{11083882369950} is an apocalyptic number.

11083882369950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11083882369950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947096566400).

11083882369950 is an abundant number, since it is smaller than the sum of its proper divisors (22810310762850).

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

11083882369950 is a wasteful number, since it uses less digits than its factorization.

11083882369950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11083882369950 in words is "eleven trillion, eighty-three billion, eight hundred eighty-two million, three hundred sixty-nine thousand, nine hundred fifty".