5564000160768 has 1056 divisors, whose sum is σ = 18857455017984. Its totient is φ = 1427083886592.

The previous prime is 5564000160767. The next prime is 5564000160869. The reversal of 5564000160768 is 8670610004655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5564000160767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12559819555 + ... + 12559819997.

It is an arithmetic number, because the mean of its divisors is an integer number (17857438464).

Almost surely, 2^{5564000160768} 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 5564000160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428727508992).

5564000160768 is an abundant number, since it is smaller than the sum of its proper divisors (13293454857216).

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

5564000160768 is a wasteful number, since it uses less digits than its factorization.

5564000160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 5564000160768 in words is "five trillion, five hundred sixty-four billion, one hundred sixty thousand, seven hundred sixty-eight".