11553006564064 has 384 divisors, whose sum is σ = 28521322905600. Its totient is φ = 4496392581120.

The previous prime is 11553006564061. The next prime is 11553006564079. The reversal of 11553006564064 is 46046560035511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553006564061) 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 63 ways as a sum of consecutive naturals, for example, 5600099097 + ... + 5600101159.

It is an arithmetic number, because the mean of its divisors is an integer number (74274278400).

Almost surely, 2^{11553006564064} is an apocalyptic number.

11553006564064 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 11553006564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14260661452800).

11553006564064 is an abundant number, since it is smaller than the sum of its proper divisors (16968316341536).

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

11553006564064 is a wasteful number, since it uses less digits than its factorization.

11553006564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

Adding to 11553006564064 its reverse (46046560035511), we get a palindrome (57599566599575).

The spelling of 11553006564064 in words is "eleven trillion, five hundred fifty-three billion, six million, five hundred sixty-four thousand, sixty-four".