5180951304000 has 672 divisors, whose sum is σ = 18799197880320. Its totient is φ = 1361851392000.

The previous prime is 5180951303959. The next prime is 5180951304029. The reversal of 5180951304000 is 4031590815.

5180951304000 is a `hidden beast` number, since 518 + 0 + 9 + 5 + 130 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2454262945 + ... + 2454265055.

Almost surely, 2^{5180951304000} is an apocalyptic number.

5180951304000 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 5180951304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399598940160).

5180951304000 is an abundant number, since it is smaller than the sum of its proper divisors (13618246576320).

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

5180951304000 is a wasteful number, since it uses less digits than its factorization.

5180951304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 5180951304000 its reverse (4031590815), we get a palindrome (5184982894815).

The spelling of 5180951304000 in words is "five trillion, one hundred eighty billion, nine hundred fifty-one million, three hundred four thousand".