11008511136 has 144 divisors (see below), whose sum is σ = 36744873984. Its totient is φ = 3060260352.

The previous prime is 11008511093. The next prime is 11008511149. The reversal of 11008511136 is 63111580011.

It is a happy number.

11008511136 is a `hidden beast` number, since 1 + 10 + 0 + 8 + 511 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801 + ... + 148383.

It is an arithmetic number, because the mean of its divisors is an integer number (255172736).

Almost surely, 2^11008511136 is an apocalyptic number.

11008511136 is a gapful number since it is divisible by the number (16) 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 11008511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372436992).

11008511136 is an abundant number, since it is smaller than the sum of its proper divisors (25736362848).

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

11008511136 is a wasteful number, since it uses less digits than its factorization.

11008511136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147643 (or 147632 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11008511136 in words is "eleven billion, eight million, five hundred eleven thousand, one hundred thirty-six".