5305315840 has 160 divisors (see below), whose sum is σ = 13945732416. Its totient is φ = 1919631360.

The previous prime is 5305315823. The next prime is 5305315843. The reversal of 5305315840 is 485135035.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 5305315796 and 5305315805.

It is not an unprimeable number, because it can be changed into a prime (5305315843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8250559 + ... + 8251201.

Almost surely, 2^5305315840 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 5305315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972866208).

5305315840 is an abundant number, since it is smaller than the sum of its proper divisors (8640416576).

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

5305315840 is a wasteful number, since it uses less digits than its factorization.

5305315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 5305315840 is about 72837.5990817929. The cubic root of 5305315840 is about 1744.0961145581.

The spelling of 5305315840 in words is "five billion, three hundred five million, three hundred fifteen thousand, eight hundred forty".