11010607100064 has 576 divisors, whose sum is σ = 38985042096000. Its totient is φ = 2896059432960.

The previous prime is 11010607100063. The next prime is 11010607100069. The reversal of 11010607100064 is 46000170601011.

It is not an unprimeable number, because it can be changed into a prime (11010607100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831045312 + ... + 831058560.

It is an arithmetic number, because the mean of its divisors is an integer number (67682364750).

Almost surely, 2^{11010607100064} 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 11010607100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492521048000).

11010607100064 is an abundant number, since it is smaller than the sum of its proper divisors (27974434995936).

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

11010607100064 is a wasteful number, since it uses less digits than its factorization.

11010607100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11010607100064 its reverse (46000170601011), we get a palindrome (57010777701075).

The spelling of 11010607100064 in words is "eleven trillion, ten billion, six hundred seven million, one hundred thousand, sixty-four".