5665604560896 has 192 divisors, whose sum is σ = 17265798950400. Its totient is φ = 1618424414208.

The previous prime is 5665604560871. The next prime is 5665604560943. The reversal of 5665604560896 is 6980654065665.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296014495 + ... + 296033633.

It is an arithmetic number, because the mean of its divisors is an integer number (89926036200).

Almost surely, 2^{5665604560896} is an apocalyptic number.

5665604560896 is a gapful number since it is divisible by the number (56) 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 5665604560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632899475200).

5665604560896 is an abundant number, since it is smaller than the sum of its proper divisors (11600194389504).

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

5665604560896 is a wasteful number, since it uses less digits than its factorization.

5665604560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26054 (or 26034 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 66.

The spelling of 5665604560896 in words is "five trillion, six hundred sixty-five billion, six hundred four million, five hundred sixty thousand, eight hundred ninety-six".