5665458075648 has 768 divisors, whose sum is σ = 18793828085760. Its totient is φ = 1480895496192.

The previous prime is 5665458075583. The next prime is 5665458075649. The reversal of 5665458075648 is 8465708545665.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665458075649) 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 63 ways as a sum of consecutive naturals, for example, 5944866340 + ... + 5944867292.

It is an arithmetic number, because the mean of its divisors is an integer number (24471130320).

Almost surely, 2^{5665458075648} 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 5665458075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396914042880).

5665458075648 is an abundant number, since it is smaller than the sum of its proper divisors (13128370010112).

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

5665458075648 is a wasteful number, since it uses less digits than its factorization.

5665458075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 69.

The spelling of 5665458075648 in words is "five trillion, six hundred sixty-five billion, four hundred fifty-eight million, seventy-five thousand, six hundred forty-eight".