5305426560 has 512 divisors, whose sum is σ = 22419763200. Its totient is φ = 1159335936.

The previous prime is 5305426541. The next prime is 5305426571. The reversal of 5305426560 is 656245035.

It is a happy number.

5305426560 is a `hidden beast` number, since 53 + 0 + 5 + 42 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781127 + ... + 2783033.

It is an arithmetic number, because the mean of its divisors is an integer number (43788600).

Almost surely, 2^5305426560 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 5305426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209881600).

5305426560 is an abundant number, since it is smaller than the sum of its proper divisors (17114336640).

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

5305426560 is a wasteful number, since it uses less digits than its factorization.

5305426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1947 counting only the distinct ones).

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

The square root of 5305426560 is about 72838.3591248457. The cubic root of 5305426560 is about 1744.1082473563.

The spelling of 5305426560 in words is "five billion, three hundred five million, four hundred twenty-six thousand, five hundred sixty".