13755530166304 has 72 divisors (see below), whose sum is σ = 28901789215740. Its totient is φ = 6422216564736.

The previous prime is 13755530166263. The next prime is 13755530166307. The reversal of 13755530166304 is 40366103555731.

It can be written as a sum of positive squares in 2 ways, for example, as 10258824643600 + 3496705522704 = 3202940^2 + 1869948^2 .

It is a super-2 number, since 2×13755530166304² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13755530166307) 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 11 ways as a sum of consecutive naturals, for example, 7990312 + ... + 9558040.

Almost surely, 2^{13755530166304} 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 13755530166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450894607870).

13755530166304 is an abundant number, since it is smaller than the sum of its proper divisors (15146259049436).

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

13755530166304 is a wasteful number, since it uses less digits than its factorization.

13755530166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568010 (or 1567875 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 49.

The spelling of 13755530166304 in words is "thirteen trillion, seven hundred fifty-five billion, five hundred thirty million, one hundred sixty-six thousand, three hundred four".