5305642560 has 504 divisors, whose sum is σ = 19830702528. Its totient is φ = 1349913600.

The previous prime is 5305642541. The next prime is 5305642561. The reversal of 5305642560 is 652465035.

It is a happy number.

5305642560 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 642 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5305642561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74727325 + ... + 74727395.

It is an arithmetic number, because the mean of its divisors is an integer number (39346632).

Almost surely, 2^5305642560 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 5305642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915351264).

5305642560 is an abundant number, since it is smaller than the sum of its proper divisors (14525059968).

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

5305642560 is an equidigital number, since it uses as much as digits as its factorization.

5305642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5305642560 is about 72839.8418449683. The cubic root of 5305642560 is about 1744.1319163465.

The spelling of 5305642560 in words is "five billion, three hundred five million, six hundred forty-two thousand, five hundred sixty".