5258791296 has 256 divisors, whose sum is σ = 17330860800. Its totient is φ = 1556029440.

The previous prime is 5258791261. The next prime is 5258791303. The reversal of 5258791296 is 6921978525.

5258791296 is a `hidden beast` number, since 52 + 587 + 9 + 1 + 2 + 9 + 6 = 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 31 ways as a sum of consecutive naturals, for example, 1633080 + ... + 1636296.

It is an arithmetic number, because the mean of its divisors is an integer number (67698675).

Almost surely, 2^5258791296 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 5258791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665430400).

5258791296 is an abundant number, since it is smaller than the sum of its proper divisors (12072069504).

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

5258791296 is a wasteful number, since it uses less digits than its factorization.

5258791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3276 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 5258791296 is about 72517.5240614295. The cubic root of 5258791296 is about 1738.9829014199.

The spelling of 5258791296 in words is "five billion, two hundred fifty-eight million, seven hundred ninety-one thousand, two hundred ninety-six".