5109964718080 has 240 divisors, whose sum is σ = 12514607513856. Its totient is φ = 2002570444800.

The previous prime is 5109964718059. The next prime is 5109964718093. The reversal of 5109964718080 is 808174699015.

It is a super-2 number, since 2×5109964718080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802567057 + ... + 802573423.

Almost surely, 2^{5109964718080} 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 5109964718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257303756928).

5109964718080 is an abundant number, since it is smaller than the sum of its proper divisors (7404642795776).

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

5109964718080 is an equidigital number, since it uses as much as digits as its factorization.

5109964718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 5109964718080 in words is "five trillion, one hundred nine billion, nine hundred sixty-four million, seven hundred eighteen thousand, eighty".