11261522664 has 160 divisors (see below), whose sum is σ = 36210905280. Its totient is φ = 3203110656.

The previous prime is 11261522663. The next prime is 11261522669. The reversal of 11261522664 is 46622516211.

11261522664 is a `hidden beast` number, since 1 + 12 + 61 + 522 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11261522663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1024204 + ... + 1035140.

It is an arithmetic number, because the mean of its divisors is an integer number (226318158).

Almost surely, 2^11261522664 is an apocalyptic number.

11261522664 is a gapful number since it is divisible by the number (14) 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 11261522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105452640).

11261522664 is an abundant number, since it is smaller than the sum of its proper divisors (24949382616).

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

11261522664 is a wasteful number, since it uses less digits than its factorization.

11261522664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189 (or 11176 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11261522664 in words is "eleven billion, two hundred sixty-one million, five hundred twenty-two thousand, six hundred sixty-four".