5110679316480 has 384 divisors, whose sum is σ = 17611052659200. Its totient is φ = 1261086769152.

The previous prime is 5110679316439. The next prime is 5110679316487. The reversal of 5110679316480 is 846139760115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5110679316480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5110679316487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24996427 + ... + 25200053.

It is an arithmetic number, because the mean of its divisors is an integer number (45862116300).

Almost surely, 2^{5110679316480} 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 5110679316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805526329600).

5110679316480 is an abundant number, since it is smaller than the sum of its proper divisors (12500373342720).

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

5110679316480 is a wasteful number, since it uses less digits than its factorization.

5110679316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203719 (or 203699 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 5110679316480 in words is "five trillion, one hundred ten billion, six hundred seventy-nine million, three hundred sixteen thousand, four hundred eighty".