5306595840 has 480 divisors, whose sum is σ = 22628301696. Its totient is φ = 1119191040.

The previous prime is 5306595839. The next prime is 5306595863. The reversal of 5306595840 is 485956035.

5306595840 is a `hidden beast` number, since 5 + 3 + 0 + 65 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095375 + ... + 2097905.

Almost surely, 2^5306595840 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 5306595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314150848).

5306595840 is an abundant number, since it is smaller than the sum of its proper divisors (17321705856).

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

5306595840 is a wasteful number, since it uses less digits than its factorization.

5306595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5306595840 is about 72846.3852226039. The cubic root of 5306595840 is about 1744.2363678173.

The spelling of 5306595840 in words is "five billion, three hundred six million, five hundred ninety-five thousand, eight hundred forty".