5564214672000 has 256 divisors, whose sum is σ = 18487079694720. Its totient is φ = 1480435507200.

The previous prime is 5564214671971. The next prime is 5564214672007. The reversal of 5564214672000 is 2764124655.

It is a super-2 number, since 2×5564214672000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5564214672007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21133164 + ... + 21394836.

Almost surely, 2^{5564214672000} is an apocalyptic number.

5564214672000 is a gapful number since it is divisible by the number (50) 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 5564214672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243539847360).

5564214672000 is an abundant number, since it is smaller than the sum of its proper divisors (12922865022720).

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

5564214672000 is a wasteful number, since it uses less digits than its factorization.

5564214672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262148 (or 262126 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 5564214672000 its reverse (2764124655), we get a palindrome (5566978796655).

The spelling of 5564214672000 in words is "five trillion, five hundred sixty-four billion, two hundred fourteen million, six hundred seventy-two thousand".