5958315792 has 480 divisors, whose sum is σ = 20966574720. Its totient is φ = 1552711680.

The previous prime is 5958315791. The next prime is 5958315799. The reversal of 5958315792 is 2975138595.

5958315792 is a `hidden beast` number, since 5 + 9 + 583 + 1 + 57 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5958315791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37950978 + ... + 37951134.

It is an arithmetic number, because the mean of its divisors is an integer number (43680364).

Almost surely, 2^5958315792 is an apocalyptic number.

5958315792 is a gapful number since it is divisible by the number (52) 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 5958315792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483287360).

5958315792 is an abundant number, since it is smaller than the sum of its proper divisors (15008258928).

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

5958315792 is a wasteful number, since it uses less digits than its factorization.

5958315792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 5958315792 is about 77190.1275552774. The cubic root of 5958315792 is about 1812.9027415584.

The spelling of 5958315792 in words is "five billion, nine hundred fifty-eight million, three hundred fifteen thousand, seven hundred ninety-two".