11407106568 has 192 divisors, whose sum is σ = 33981958080. Its totient is φ = 3189288960.

The previous prime is 11407106563. The next prime is 11407106569. The reversal of 11407106568 is 86560170411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11407106563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5397480 + ... + 5399592.

It is an arithmetic number, because the mean of its divisors is an integer number (176989365).

Almost surely, 2^11407106568 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 11407106568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990979040).

11407106568 is an abundant number, since it is smaller than the sum of its proper divisors (22574851512).

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

11407106568 is a wasteful number, since it uses less digits than its factorization.

11407106568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 11407106568 its reverse (86560170411), we get a palindrome (97967276979).

The spelling of 11407106568 in words is "eleven billion, four hundred seven million, one hundred six thousand, five hundred sixty-eight".