5648100480000 has 1320 divisors, whose sum is σ = 22485750006720. Its totient is φ = 1353646080000.

The previous prime is 5648100479977. The next prime is 5648100480059. The reversal of 5648100480000 is 840018465.

5648100480000 is a `hidden beast` number, since 5 + 648 + 1 + 0 + 0 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6145919541 + ... + 6145920459.

It is an arithmetic number, because the mean of its divisors is an integer number (17034659096).

Almost surely, 2^{5648100480000} is an apocalyptic number.

5648100480000 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 5648100480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242875003360).

5648100480000 is an abundant number, since it is smaller than the sum of its proper divisors (16837649526720).

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

5648100480000 is a wasteful number, since it uses less digits than its factorization.

5648100480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 5648100480000 its reverse (840018465), we get a palindrome (5648940498465).

The spelling of 5648100480000 in words is "five trillion, six hundred forty-eight billion, one hundred million, four hundred eighty thousand".