11008275875520 has 896 divisors, whose sum is σ = 45939661996032. Its totient is φ = 2165391360000.

The previous prime is 11008275875507. The next prime is 11008275875521. The reversal of 11008275875520 is 2557857280011.

It is not an unprimeable number, because it can be changed into a prime (11008275875521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164882145 + ... + 164948895.

It is an arithmetic number, because the mean of its divisors is an integer number (51271944192).

Almost surely, 2^{11008275875520} is an apocalyptic number.

11008275875520 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 11008275875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969830998016).

11008275875520 is an abundant number, since it is smaller than the sum of its proper divisors (34931386120512).

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

11008275875520 is a wasteful number, since it uses less digits than its factorization.

11008275875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66909 (or 66899 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 51.

The spelling of 11008275875520 in words is "eleven trillion, eight billion, two hundred seventy-five million, eight hundred seventy-five thousand, five hundred twenty".