11083638720 has 672 divisors, whose sum is σ = 45377063424. Its totient is φ = 2242437120.

The previous prime is 11083638707. The next prime is 11083638721. The reversal of 11083638720 is 2783638011.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083638721) 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, 34964002 + ... + 34964318.

It is an arithmetic number, because the mean of its divisors is an integer number (67525392).

Almost surely, 2^11083638720 is an apocalyptic number.

11083638720 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 11083638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688531712).

11083638720 is an abundant number, since it is smaller than the sum of its proper divisors (34293424704).

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

11083638720 is a wasteful number, since it uses less digits than its factorization.

11083638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 11083638720 in words is "eleven billion, eighty-three million, six hundred thirty-eight thousand, seven hundred twenty".