11075883000 has 512 divisors, whose sum is σ = 44029440000. Its totient is φ = 2254694400.

The previous prime is 11075882999. The next prime is 11075883001. The reversal of 11075883000 is 38857011.

11075883000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11075882999) and next prime (11075883001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075883001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7916301 + ... + 7917699.

It is an arithmetic number, because the mean of its divisors is an integer number (85995000).

Almost surely, 2^11075883000 is an apocalyptic number.

11075883000 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 11075883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720000).

11075883000 is an abundant number, since it is smaller than the sum of its proper divisors (32953557000).

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

11075883000 is a wasteful number, since it uses less digits than its factorization.

11075883000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 11075883000 in words is "eleven billion, seventy-five million, eight hundred eighty-three thousand".