5680005120000 has 1050 divisors, whose sum is σ = 21403749598308. Its totient is φ = 1500512256000.

The previous prime is 5680005119989. The next prime is 5680005120001. The reversal of 5680005120000 is 215000865.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5680005120001) 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 49 ways as a sum of consecutive naturals, for example, 53084159947 + ... + 53084160053.

Almost surely, 2^{5680005120000} is an apocalyptic number.

5680005120000 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 5680005120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701874799154).

5680005120000 is an abundant number, since it is smaller than the sum of its proper divisors (15723744478308).

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

5680005120000 is an frugal number, since it uses more digits than its factorization.

5680005120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 5680005120000 in words is "five trillion, six hundred eighty billion, five million, one hundred twenty thousand".