5352939030240 has 288 divisors, whose sum is σ = 18955116966240. Its totient is φ = 1426571771904.

The previous prime is 5352939030223. The next prime is 5352939030247. The reversal of 5352939030240 is 420309392535.

It is a happy number.

5352939030240 is a `hidden beast` number, since 5 + 3 + 5 + 293 + 90 + 30 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5352939030240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352939030247) 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 47 ways as a sum of consecutive naturals, for example, 64382616 + ... + 64465704.

It is an arithmetic number, because the mean of its divisors is an integer number (65816378355).

Almost surely, 2^{5352939030240} 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 5352939030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477558483120).

5352939030240 is an abundant number, since it is smaller than the sum of its proper divisors (13602177936000).

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

5352939030240 is a wasteful number, since it uses less digits than its factorization.

5352939030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84776 (or 84756 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 5352939030240 in words is "five trillion, three hundred fifty-two billion, nine hundred thirty-nine million, thirty thousand, two hundred forty".