5660800800006 has 64 divisors (see below), whose sum is σ = 12496919360256. Its totient is φ = 1709332035840.

The previous prime is 5660800799851. The next prime is 5660800800059. The reversal of 5660800800006 is 6000080080665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007670 + ... + 3512406.

It is an arithmetic number, because the mean of its divisors is an integer number (195264365004).

Almost surely, 2^{5660800800006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660800800006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248459680128).

5660800800006 is an abundant number, since it is smaller than the sum of its proper divisors (6836118560250).

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

5660800800006 is a wasteful number, since it uses less digits than its factorization.

5660800800006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505058 (or 2505036 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 5660800800006 in words is "five trillion, six hundred sixty billion, eight hundred million, eight hundred thousand, six".