5108829513984 has 675 divisors, whose sum is σ = 17756794170115. Its totient is φ = 1412579589120.

The previous prime is 5108829513961. The next prime is 5108829514091. The reversal of 5108829513984 is 4893159288015.

The square root of 5108829513984 is 2260272.

It is a perfect power (a square), and thus also a powerful number.

5108829513984 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 8 + 29 + 513 + 98 + 4 = 666.

It is a super-2 number, since 2×5108829513984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 164800952049 + ... + 164800952079.

Almost surely, 2^{5108829513984} is an apocalyptic number.

5108829513984 is the 2260272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5108829513984

5108829513984 is an abundant number, since it is smaller than the sum of its proper divisors (12647964656131).

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

5108829513984 is an frugal number, since it uses more digits than its factorization.

5108829513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 5108829513984 in words is "five trillion, one hundred eight billion, eight hundred twenty-nine million, five hundred thirteen thousand, nine hundred eighty-four".