552138501760 has 128 divisors (see below), whose sum is σ = 1345450775760. Its totient is φ = 216623185920.

The previous prime is 552138501731. The next prime is 552138501763. The reversal of 552138501760 is 67105831255.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 95303098944 + 456835402816 = 308712^2 + 675896^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (552138501763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8423674 + ... + 8488966.

Almost surely, 2^552138501760 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 552138501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672725387880).

552138501760 is an abundant number, since it is smaller than the sum of its proper divisors (793312274000).

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

552138501760 is a wasteful number, since it uses less digits than its factorization.

552138501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65566 (or 65554 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 552138501760 in words is "five hundred fifty-two billion, one hundred thirty-eight million, five hundred one thousand, seven hundred sixty".