11130005664 has 96 divisors (see below), whose sum is σ = 32642326080. Its totient is φ = 3689452800.

The previous prime is 11130005603. The next prime is 11130005681. The reversal of 11130005664 is 46650003111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120799 + ... + 191969.

It is an arithmetic number, because the mean of its divisors is an integer number (340024230).

Almost surely, 2^11130005664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321163040).

11130005664 is an abundant number, since it is smaller than the sum of its proper divisors (21512320416).

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

11130005664 is a wasteful number, since it uses less digits than its factorization.

11130005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71371 (or 71357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11130005664 its reverse (46650003111), we get a palindrome (57780008775).

The spelling of 11130005664 in words is "eleven billion, one hundred thirty million, five thousand, six hundred sixty-four".