5305838958 has 128 divisors (see below), whose sum is σ = 15019084800. Its totient is φ = 1351655424.

The previous prime is 5305838933. The next prime is 5305838981. The reversal of 5305838958 is 8598385035.

5305838958 is a `hidden beast` number, since 5 + 3 + 0 + 583 + 8 + 9 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100366 + ... + 143822.

It is an arithmetic number, because the mean of its divisors is an integer number (117336600).

Almost surely, 2^5305838958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305838958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509542400).

5305838958 is an abundant number, since it is smaller than the sum of its proper divisors (9713245842).

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

5305838958 is a wasteful number, since it uses less digits than its factorization.

5305838958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43511 (or 43505 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 5305838958 is about 72841.1899820424. The cubic root of 5305838958 is about 1744.1534368183.

The spelling of 5305838958 in words is "five billion, three hundred five million, eight hundred thirty-eight thousand, nine hundred fifty-eight".