5109973766800 has 240 divisors, whose sum is σ = 14156173946880. Its totient is φ = 1736345940480.

The previous prime is 5109973766789. The next prime is 5109973766803. The reversal of 5109973766800 is 86673799015.

It is a super-2 number, since 2×5109973766800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109973766803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228449217 + ... + 228471583.

It is an arithmetic number, because the mean of its divisors is an integer number (58984058112).

Almost surely, 2^{5109973766800} is an apocalyptic number.

5109973766800 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 5109973766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078086973440).

5109973766800 is an abundant number, since it is smaller than the sum of its proper divisors (9046200180080).

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

5109973766800 is a wasteful number, since it uses less digits than its factorization.

5109973766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23118 (or 23107 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 5109973766800 in words is "five trillion, one hundred nine billion, nine hundred seventy-three million, seven hundred sixty-six thousand, eight hundred".