5648213450880 has 1536 divisors, whose sum is σ = 26827005703680. Its totient is φ = 1056905625600.

The previous prime is 5648213450837. The next prime is 5648213450881. The reversal of 5648213450880 is 880543128465.

5648213450880 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 21 + 34 + 508 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (5648213450881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236384214 + ... + 236408106.

It is an arithmetic number, because the mean of its divisors is an integer number (17465498505).

Almost surely, 2^{5648213450880} 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 5648213450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413502851840).

5648213450880 is an abundant number, since it is smaller than the sum of its proper divisors (21178792252800).

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

5648213450880 is a wasteful number, since it uses less digits than its factorization.

5648213450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23990 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5648213450880 in words is "five trillion, six hundred forty-eight billion, two hundred thirteen million, four hundred fifty thousand, eight hundred eighty".