5589216753120 has 1728 divisors, whose sum is σ = 26118366962688. Its totient is φ = 1056706560000.

The previous prime is 5589216753011. The next prime is 5589216753167. The reversal of 5589216753120 is 213576129855.

5589216753120 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 21 + 67 + 531 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1330447020 + ... + 1330451220.

It is an arithmetic number, because the mean of its divisors is an integer number (15114795696).

Almost surely, 2^{5589216753120} 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 5589216753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059183481344).

5589216753120 is an abundant number, since it is smaller than the sum of its proper divisors (20529150209568).

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

5589216753120 is a wasteful number, since it uses less digits than its factorization.

5589216753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5589216753120 in words is "five trillion, five hundred eighty-nine billion, two hundred sixteen million, seven hundred fifty-three thousand, one hundred twenty".