5180668416 has 640 divisors, whose sum is σ = 19861585920. Its totient is φ = 1293926400.

The previous prime is 5180668411. The next prime is 5180668481. The reversal of 5180668416 is 6148660815.

It is not an unprimeable number, because it can be changed into a prime (5180668411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997810 + ... + 32997966.

It is an arithmetic number, because the mean of its divisors is an integer number (31033728).

Almost surely, 2^5180668416 is an apocalyptic number.

5180668416 is a gapful number since it is divisible by the number (56) 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 5180668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930792960).

5180668416 is an abundant number, since it is smaller than the sum of its proper divisors (14680917504).

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

5180668416 is a wasteful number, since it uses less digits than its factorization.

5180668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5180668416 is about 71976.8602816211. The cubic root of 5180668416 is about 1730.3286506272.

The spelling of 5180668416 in words is "five billion, one hundred eighty million, six hundred sixty-eight thousand, four hundred sixteen".