5565432305664 has 2304 divisors, whose sum is σ = 22264429824000. Its totient is φ = 1356052561920.

The previous prime is 5565432305591. The next prime is 5565432305669. The reversal of 5565432305664 is 4665032345655.

It is a happy number.

5565432305664 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 43 + 2 + 30 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5565432305664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565432305669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40623593404 + ... + 40623593540.

It is an arithmetic number, because the mean of its divisors is an integer number (9663381000).

Almost surely, 2^{5565432305664} is an apocalyptic number.

5565432305664 is a gapful number since it is divisible by the number (54) 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 5565432305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132214912000).

5565432305664 is an abundant number, since it is smaller than the sum of its proper divisors (16698997518336).

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

5565432305664 is a wasteful number, since it uses less digits than its factorization.

5565432305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 5565432305664 in words is "five trillion, five hundred sixty-five billion, four hundred thirty-two million, three hundred five thousand, six hundred sixty-four".