5340055452736 has 189 divisors, whose sum is σ = 11708850727413. Its totient is φ = 2415861296640.

The previous prime is 5340055452733. The next prime is 5340055452751. The reversal of 5340055452736 is 6372545500435.

It is a happy number.

The square root of 5340055452736 is 2310856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4240074012736 + 1099981440000 = 2059144^2 + 1048800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5340055452736.

It is not an unprimeable number, because it can be changed into a prime (5340055452731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8078752246 + ... + 8078752906.

Almost surely, 2^{5340055452736} is an apocalyptic number.

5340055452736 is the 2310856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340055452736

5340055452736 is an abundant number, since it is smaller than the sum of its proper divisors (6368795274677).

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

5340055452736 is an frugal number, since it uses more digits than its factorization.

5340055452736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 49.

Multiplying 5340055452736 by its sum of digits (49), we get a square (261662717184064 = 16175992²).

The spelling of 5340055452736 in words is "five trillion, three hundred forty billion, fifty-five million, four hundred fifty-two thousand, seven hundred thirty-six".