5160943660800 has 432 divisors, whose sum is σ = 17452087994880. Its totient is φ = 1342410424320.

The previous prime is 5160943660793. The next prime is 5160943660861. The reversal of 5160943660800 is 80663490615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5160943660800.

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 47 ways as a sum of consecutive naturals, for example, 667906537 + ... + 667914263.

It is an arithmetic number, because the mean of its divisors is an integer number (40398351840).

Almost surely, 2^{5160943660800} is an apocalyptic number.

5160943660800 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 5160943660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726043997440).

5160943660800 is an abundant number, since it is smaller than the sum of its proper divisors (12291144334080).

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

5160943660800 is a wasteful number, since it uses less digits than its factorization.

5160943660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8589 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 5160943660800 in words is "five trillion, one hundred sixty billion, nine hundred forty-three million, six hundred sixty thousand, eight hundred".