5258168784 has 200 divisors, whose sum is σ = 16683967872. Its totient is φ = 1585543680.

The previous prime is 5258168767. The next prime is 5258168791. The reversal of 5258168784 is 4878618525.

5258168784 is a `hidden beast` number, since 52 + 581 + 6 + 8 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×5258168784² = 55296677922064077312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5258168784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3320857 + ... + 3322439.

Almost surely, 2^5258168784 is an apocalyptic number.

5258168784 is a gapful number since it is divisible by the number (54) 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 5258168784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341983936).

5258168784 is an abundant number, since it is smaller than the sum of its proper divisors (11425799088).

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

5258168784 is a wasteful number, since it uses less digits than its factorization.

5258168784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1832 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The square root of 5258168784 is about 72513.2317856541. The cubic root of 5258168784 is about 1738.9142810608.

The spelling of 5258168784 in words is "five billion, two hundred fifty-eight million, one hundred sixty-eight thousand, seven hundred eighty-four".