5109460376800 has 576 divisors, whose sum is σ = 14522670489600. Its totient is φ = 1739136614400.

The previous prime is 5109460376731. The next prime is 5109460376809. The reversal of 5109460376800 is 86730649015.

It is a super-2 number, since 2×5109460376800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109460376809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4917670681 + ... + 4917671719.

It is an arithmetic number, because the mean of its divisors is an integer number (25212969600).

Almost surely, 2^{5109460376800} is an apocalyptic number.

5109460376800 is a gapful number since it is divisible by the number (50) 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 5109460376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261335244800).

5109460376800 is an abundant number, since it is smaller than the sum of its proper divisors (9413210112800).

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

5109460376800 is a wasteful number, since it uses less digits than its factorization.

5109460376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 5109460376800 in words is "five trillion, one hundred nine billion, four hundred sixty million, three hundred seventy-six thousand, eight hundred".