5109806592 has 400 divisors, whose sum is σ = 17396957952. Its totient is φ = 1478062080.

The previous prime is 5109806543. The next prime is 5109806593. The reversal of 5109806592 is 2956089015.

5109806592 is a `hidden beast` number, since 51 + 0 + 9 + 8 + 0 + 6 + 592 = 666.

It is a super-2 number, since 2×5109806592² = 52220246815293308928, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109806593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10492173 + ... + 10492659.

Almost surely, 2^5109806592 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 5109806592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698478976).

5109806592 is an abundant number, since it is smaller than the sum of its proper divisors (12287151360).

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

5109806592 is a wasteful number, since it uses less digits than its factorization.

5109806592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5109806592 is about 71482.9111886191. The cubic root of 5109806592 is about 1722.4031883787.

The spelling of 5109806592 in words is "five billion, one hundred nine million, eight hundred six thousand, five hundred ninety-two".