5789650117680 has 2880 divisors, whose sum is σ = 25554314419200. Its totient is φ = 1200332390400.

The previous prime is 5789650117627. The next prime is 5789650117681. The reversal of 5789650117680 is 867110569875.

5789650117680 is a `hidden beast` number, since 57 + 8 + 9 + 6 + 501 + 1 + 76 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5789650117681) 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 575 ways as a sum of consecutive naturals, for example, 41652159051 + ... + 41652159189.

It is an arithmetic number, because the mean of its divisors is an integer number (8873025840).

Almost surely, 2^{5789650117680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5789650117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777157209600).

5789650117680 is an abundant number, since it is smaller than the sum of its proper divisors (19764664301520).

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

5789650117680 is a wasteful number, since it uses less digits than its factorization.

5789650117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 5789650117680 in words is "five trillion, seven hundred eighty-nine billion, six hundred fifty million, one hundred seventeen thousand, six hundred eighty".