11206106784 has 144 divisors (see below), whose sum is σ = 34720963200. Its totient is φ = 3515563008.

The previous prime is 11206106761. The next prime is 11206106789. The reversal of 11206106784 is 48760160211.

It is a happy number.

11206106784 is a `hidden beast` number, since 11 + 20 + 610 + 6 + 7 + 8 + 4 = 666.

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

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 (11206106789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227257 + ... + 272135.

It is an arithmetic number, because the mean of its divisors is an integer number (241117800).

Almost surely, 2^11206106784 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 11206106784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360481600).

11206106784 is an abundant number, since it is smaller than the sum of its proper divisors (23514856416).

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

11206106784 is a wasteful number, since it uses less digits than its factorization.

11206106784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44932 (or 44901 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11206106784 its reverse (48760160211), we get a palindrome (59966266995).

The spelling of 11206106784 in words is "eleven billion, two hundred six million, one hundred six thousand, seven hundred eighty-four".