5352128640 has 288 divisors, whose sum is σ = 19226270700. Its totient is φ = 1370320896.

The previous prime is 5352128633. The next prime is 5352128651. The reversal of 5352128640 is 468212535.

5352128640 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 1 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5333673024 + 18455616 = 73032^2 + 4296^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5352128595 and 5352128604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29900071 + ... + 29900249.

Almost surely, 2^5352128640 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 5352128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613135350).

5352128640 is an abundant number, since it is smaller than the sum of its proper divisors (13874142060).

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

5352128640 is a wasteful number, since it uses less digits than its factorization.

5352128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5352128640 is about 73158.2438280198. The cubic root of 5352128640 is about 1749.2109248036.

The spelling of 5352128640 in words is "five billion, three hundred fifty-two million, one hundred twenty-eight thousand, six hundred forty".