5305923840 has 432 divisors, whose sum is σ = 19948033728. Its totient is φ = 1198374912.

The previous prime is 5305923787. The next prime is 5305923851. The reversal of 5305923840 is 483295035.

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 47 ways as a sum of consecutive naturals, for example, 30669994 + ... + 30670166.

It is an arithmetic number, because the mean of its divisors is an integer number (46176004).

Almost surely, 2^5305923840 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 5305923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974016864).

5305923840 is an abundant number, since it is smaller than the sum of its proper divisors (14642109888).

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

5305923840 is a wasteful number, since it uses less digits than its factorization.

5305923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5305923840 is about 72841.7726308195. The cubic root of 5305923840 is about 1744.1627376687.

The spelling of 5305923840 in words is "five billion, three hundred five million, nine hundred twenty-three thousand, eight hundred forty".