5648868357120 has 1056 divisors, whose sum is σ = 20969198909568. Its totient is φ = 1457064640512.

The previous prime is 5648868357113. The next prime is 5648868357137. The reversal of 5648868357120 is 217538688465.

5648868357120 is a `hidden beast` number, since 5 + 6 + 488 + 6 + 83 + 5 + 71 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12751395619 + ... + 12751396061.

Almost surely, 2^{5648868357120} 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 5648868357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10484599454784).

5648868357120 is an abundant number, since it is smaller than the sum of its proper divisors (15320330552448).

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

5648868357120 is a wasteful number, since it uses less digits than its factorization.

5648868357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5648868357120 in words is "five trillion, six hundred forty-eight billion, eight hundred sixty-eight million, three hundred fifty-seven thousand, one hundred twenty".