5645321256960 has 2880 divisors, whose sum is σ = 26381031505920. Its totient is φ = 1123685498880.

The previous prime is 5645321256959. The next prime is 5645321257031. The reversal of 5645321256960 is 696521235465.

5645321256960 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 3 + 2 + 12 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 5645321256897 and 5645321256906.

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, 44451348417 + ... + 44451348543.

It is an arithmetic number, because the mean of its divisors is an integer number (9160080384).

Almost surely, 2^{5645321256960} 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 5645321256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190515752960).

5645321256960 is an abundant number, since it is smaller than the sum of its proper divisors (20735710248960).

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

5645321256960 is a wasteful number, since it uses less digits than its factorization.

5645321256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 5645321256960 in words is "five trillion, six hundred forty-five billion, three hundred twenty-one million, two hundred fifty-six thousand, nine hundred sixty".