5305905416 has 64 divisors (see below), whose sum is σ = 11792400000. Its totient is φ = 2236610880.

The previous prime is 5305905403. The next prime is 5305905433. The reversal of 5305905416 is 6145095035.

It is a self number, because there is not a number n which added to its sum of digits gives 5305905416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151535 + ... + 183233.

It is an arithmetic number, because the mean of its divisors is an integer number (184256250).

Almost surely, 2^5305905416 is an apocalyptic number.

5305905416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305905416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896200000).

5305905416 is an abundant number, since it is smaller than the sum of its proper divisors (6486494584).

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

5305905416 is a wasteful number, since it uses less digits than its factorization.

5305905416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31787 (or 31769 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The square root of 5305905416 is about 72841.6461648143. The cubic root of 5305905416 is about 1744.1607188879.

The spelling of 5305905416 in words is "five billion, three hundred five million, nine hundred five thousand, four hundred sixteen".