5180840711424 has 576 divisors, whose sum is σ = 17667600814080. Its totient is φ = 1466917724160.

The previous prime is 5180840711419. The next prime is 5180840711491. The reversal of 5180840711424 is 4241170480815.

5180840711424 is a `hidden beast` number, since 5 + 1 + 80 + 84 + 0 + 71 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5180840711424² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5180840711424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3401733127 + ... + 3401734649.

It is an arithmetic number, because the mean of its divisors is an integer number (30672918080).

Almost surely, 2^{5180840711424} is an apocalyptic number.

5180840711424 is a gapful number since it is divisible by the number (54) 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 5180840711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833800407040).

5180840711424 is an abundant number, since it is smaller than the sum of its proper divisors (12486760102656).

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

5180840711424 is a wasteful number, since it uses less digits than its factorization.

5180840711424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 5180840711424 in words is "five trillion, one hundred eighty billion, eight hundred forty million, seven hundred eleven thousand, four hundred twenty-four".