5109810507648 has 256 divisors, whose sum is σ = 18802334016000. Its totient is φ = 1327223439360.

The previous prime is 5109810507619. The next prime is 5109810507649. The reversal of 5109810507648 is 8467050189015.

It is a happy number.

5109810507648 is a `hidden beast` number, since 5 + 1 + 0 + 98 + 1 + 0 + 507 + 6 + 48 = 666.

It is a super-2 number, since 2×5109810507648² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5109810507594 and 5109810507603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109810507649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9334753 + ... + 9866976.

It is an arithmetic number, because the mean of its divisors is an integer number (73446617250).

Almost surely, 2^{5109810507648} is an apocalyptic number.

It is an amenable number.

5109810507648 is an abundant number, since it is smaller than the sum of its proper divisors (13692523508352).

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

5109810507648 is a wasteful number, since it uses less digits than its factorization.

5109810507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201770 (or 19201752 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5109810507648 in words is "five trillion, one hundred nine billion, eight hundred ten million, five hundred seven thousand, six hundred forty-eight".