5659609536000 has 1920 divisors, whose sum is σ = 25398238694400. Its totient is φ = 1216777420800.

The previous prime is 5659609535989. The next prime is 5659609536011. The reversal of 5659609536000 is 6359069565.

5659609536000 is a `hidden beast` number, since 56 + 59 + 6 + 0 + 9 + 536 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5659609535989) and next prime (5659609536011).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3495743191 + ... + 3495744809.

It is an arithmetic number, because the mean of its divisors is an integer number (13228249320).

Almost surely, 2^{5659609536000} is an apocalyptic number.

5659609536000 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 5659609536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699119347200).

5659609536000 is an abundant number, since it is smaller than the sum of its proper divisors (19738629158400).

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

5659609536000 is a wasteful number, since it uses less digits than its factorization.

5659609536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 5659609536000 in words is "five trillion, six hundred fifty-nine billion, six hundred nine million, five hundred thirty-six thousand".